What are the x- and y-components of the vector

Slides:

Advertisements

Similar presentations

Polaris Coordinates of a Vector How can we represent a vector? -We plot an arrow: the length proportional to magnitude of vector the line represents the.

Advertisements

Unit Vectors. Vector Length  Vector components can be used to determine the magnitude of a vector.  The square of the length of the vector is the sum.

Q1.1 What are the x– and y–components of the vector E?

Q32.1 The drawing shows an electromagnetic wave in a vacuum. The wave is propagating 1. in the positive x-direction 2. in the negative x-direction 3. in.

Chapter 10 Vocabulary.

Section 4.1 – Vectors (in component form)

Problem lb A couple of magnitude 30 lb

APPLICATION OF VECTOR ADDITION

Vector Products (Dot Product). Vector Algebra The Three Products.

MOMENT OF A FORCE (Section 4.1)

READING QUIZ A)to move a body towards the point or axis. B)to rotate a body about the point or axis. C)to deform a body. D)to lift a body. The moment of.

Digital Lesson Vectors.

Vectors in Physics (Continued)

MOMENT ABOUT AN AXIS Today’s Objectives:

Vectors Vectors and Scalars Vector: Quantity which requires both magnitude (size) and direction to be completely specified –2 m, west; 50 mi/h, 220 o.

Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Section 7.4 Trigonometric Functions of General Angles.

According to properties of the dot product, A ( B + C ) equals _________. A) (A B) +( B C) B) (A + B) ( A + C ) C) (A B) – ( A C) D) ( A B ) + ( A C) READING.

CH 3 Vectors in Physics 3-1 Scalars Versus Vectors What quantity or quantities from Chapter 2 are scalars? What quantity or quantities from Chapter 2 need.

MOMENT OF A FORCE SCALAR FORMULATION, CROSS PRODUCT, MOMENT OF A FORCE VECTOR FORMULATION, & PRINCIPLE OF MOMENTS Today’s Objectives : Students will be.

Definitions Examples of a Vector and a Scalar More Definitions

Vectors and Vector Addition Honors/MYIB Physics. This is a vector.

Starter If the height is 10m and the angle is 30 degrees,

Five-Minute Check (over Lesson 8-4) Then/Now New Vocabulary

Vectors Vector: a quantity that has both magnitude (size) and direction Examples: displacement, velocity, acceleration Scalar: a quantity that has no.

Vector. Scaler versus Vector Scaler ( 向量 ): : described by magnitude  E.g. length, mass, time, speed, etc Vector( 矢量 ): described by both magnitude and.

Phys211C1V p1 Vectors Scalars: a physical quantity described by a single number Vector: a physical quantity which has a magnitude (size) and direction.

MOMENT ABOUT AN AXIS In-Class Activities: Check Homework Reading Quiz Applications Scalar Analysis Vector Analysis Concept Quiz Group Problem Solving Attention.

Vectors. Vectors and Direction Vectors are quantities that have a size and a direction. Vectors are quantities that have a size and a direction. A quantity.

Chapter 1 - Vector Analysis. Scalars and Vectors Scalar Fields (temperature) Vector Fields (gravitational, magnetic) Vector Algebra.

QUIZ #2 If cable CB is subjected to a tension that is twice that of cable CA, determine the angle Θ for equilibrium of the 10-kg cylinder. Also, what are.

1 © 2011 Pearson Education, Inc. All rights reserved 1 © 2010 Pearson Education, Inc. All rights reserved © 2011 Pearson Education, Inc. All rights reserved.

Quiz Chapter 3  Law of Gravitation  Rectangular Components  Law of Inertia and Equilibrium  Position Vectors  Angular Positions.

DOT PRODUCT In-Class Activities: Check Homework Reading Quiz Applications / Relevance Dot product - Definition Angle Determination Determining the Projection.

Students will be able to: a) understand and define moment, and,

VectorsVectors. What is a vector quantity? Vectors Vectors are quantities that possess magnitude and direction. »Force »Velocity »Acceleration.

Forces II: Addition of Vectors 3N2N The length of the arrow represents the magnitude of the force. The arrows point in the direction in which the force.

A jogger runs 145m in a direction 20

VECTORS (Ch. 12) Vectors in the plane Definition: A vector v in the Cartesian plane is an ordered pair of real numbers:  a,b . We write v =  a,b  and.

MOMENT ABOUT AN AXIS Today’s Objectives:

Sec 13.3The Dot Product Definition: The dot product is sometimes called the scalar product or the inner product of two vectors.

Vectors Physics 513.

Mathematics Vectors 1 This set of slides may be updated this weekend. I have given you my current slides to get you started on the PreAssignment. Check.

Objectives: Work with vectors in standard position. Apply the basic concepts of right-triangle trigonometry using displacement vectors.

Adding Vectors Mathematically Adding vectors graphically works, but it is slow, cumbersome, and slightly unreliable. Adding vectors mathematically allows.

Vectors in a Plane Lesson Definitions Vector: determined by direction and magnitude Polar representation: nonnegative magnitude r and direction.

The Trigonometric Way Adding Vectors Mathematically.

© 2012 Pearson Education, Inc. In a vacuum, red light has a wavelength of 700 nm and violet light has a wavelength of 400 nm. This means that in a vacuum,

Copyright © 2010 Pearson Education Canada 9-1 CHAPTER 9: VECTORS AND OBLIQUE TRIANGLES.

Copyright © 2011 Pearson, Inc. 6.1 Vectors in the Plane Day 2.

Chapter – 6.5 Vectors.

PHY 093 – Lecture 1b Scalars & Vectors Scalars & vectors  Scalars – quantities with only magnitudes Eg. Mass, time, temperature Eg. Mass, time,

Objective: Find the dot product of two vectors. Find the angle between two vectors. Dot product definition Example 1 Find the dot product. v = 2i – j w.

Poll The angle of the hill is 30 . If the ball is moving up the hill, what is its acceleration, if the +x direction is defined to be “to the right, down.

Unit Circle ( √3, 1 ) 2 2 ( 1, √3 ) 2 2 ( √2, √2 ) ˚ 45˚ 60˚

Section 7.4 Trigonometric Functions of General Angles Copyright © 2013 Pearson Education, Inc. All rights reserved.

Geometry Chapter 9 Test Review. Check Obtuse ? ? ?

Vectors for Calculus-Based Physics AP Physics C. A Vector …  … is a quantity that has a magnitude (size) AND a direction.  …can be in one-dimension,

Statics, Fourteenth Edition R.C. Hibbeler Copyright ©2016 by Pearson Education, Inc. All rights reserved. In-Class Activities: Check Homework Reading Quiz.

4.2.  In the last section, we dealt with two vectors in the same direction, opposite directions, and at right angles to each other.  In this section.

Statics, Fourteenth Edition R.C. Hibbeler Copyright ©2016 by Pearson Education, Inc. All rights reserved. In-class Activities: Check Homework Reading Quiz.

 Test corrections are due next class  Go over Homework  Vector notes-Finish My vectors  Labs—vectors “ As the Crow Flies”

© 2015 Pearson Education, Inc.

© 2015 Pearson Education, Inc.

Scalars and Vectors.

Chapter 9 Review.

Copyright © 2017, 2013, 2009 Pearson Education, Inc.

Section 3.1 – Vectors in Component Form

Section 10.5 The Dot Product

Phys 13 General Physics 1 Vector Product MARLON FLORES SACEDON.

Presentation transcript:

What are the x- and y-components of the vector Q1.1 What are the x- and y-components of the vector A. Ex = E cos b, Ey = E sin b B. Ex = E sin b, Ey = E cos b C. Ex = –E cos b, Ey = –E sin b D. Ex = –E sin b, Ey = –E cos b E. Ex = –E cos b, Ey = E sin b Answer: B

A1.1 What are the x– and y–components of the vector A. Ex = E cos b, Ey = E sin b B. Ex = E sin b, Ey = E cos b C. Ex = –E cos b, Ey = –E sin b D. Ex = –E sin b, Ey = –E cos b E. Ex = –E cos b, Ey = E sin b

Consider the vectors shown. Which is a correct statement about Q1.2 Consider the vectors shown. Which is a correct statement about A. x-component > 0, y-component > 0 B. x-component > 0, y-component < 0 C. x-component < 0, y-component > 0 D. x-component < 0, y-component < 0 E. x-component = 0, y-component > 0 Answer: A

A1.2 Consider the vectors shown. Which is a correct statement about A. x-component > 0, y-component > 0 B. x-component > 0, y-component < 0 C. x-component < 0, y-component > 0 D. x-component < 0, y-component < 0 E. x-component = 0, y-component > 0

Consider the vectors shown. Which is a correct statement about Q1.3 Consider the vectors shown. Which is a correct statement about A. x-component > 0, y-component > 0 B. x-component > 0, y-component < 0 C. x-component < 0, y-component > 0 D. x-component < 0, y-component < 0 E. x-component = 0, y-component > 0 Answer: D

A1.3 Consider the vectors shown. Which is a correct statement about A. x-component > 0, y-component > 0 B. x-component > 0, y-component < 0 C. x-component < 0, y-component > 0 D. x-component < 0, y-component < 0 E. x-component = 0, y-component > 0

Which of the following statements is correct for any two vectors Q1.4 Which of the following statements is correct for any two vectors A. The magnitude of is A + B. B. The magnitude of is A – B. C. The magnitude of is greater than or equal to |A – B|. D. The magnitude of is greater than the magnitude of . E. The magnitude of is . Answer: C

A1.4 Which of the following statements is correct for any two vectors A. The magnitude of is A + B. B. The magnitude of is A – B. C. The magnitude of is greater than or equal to |A – B|. D. The magnitude of is greater than the magnitude of . E. The magnitude of is .

Which of the following statements is correct for any two vectors Q1.5 Which of the following statements is correct for any two vectors A. The magnitude of is A – B. B. The magnitude of is A + B. C. The magnitude of is greater than or equal to |A – B|. D. The magnitude of is less than the magnitude of . E. The magnitude of is . Answer: C

A1.5 Which of the following statements is correct for any two vectors A. The magnitude of is A – B. B. The magnitude of is A + B. C. The magnitude of is greater than or equal to |A – B|. D. The magnitude of is less than the magnitude of . E. The magnitude of is .

Consider the vectors shown. What are the components of the vector Q1.6 Consider the vectors shown. What are the components of the vector A. Ex = –8.00 m, Ey = –2.00 m B. Ex = –8.00 m, Ey = +2.00 m C. Ex = –6.00 m, Ey = 0 D. Ex = –6.00 m, Ey = +2.00 m E. Ex = –10.0 m, Ey = 0 Answer: A

A1.6 Consider the vectors shown. What are the components of the vector A. Ex = –8.00 m, Ey = –2.00 m B. Ex = –8.00 m, Ey = +2.00 m C. Ex = –6.00 m, Ey = 0 D. Ex = –6.00 m, Ey = +2.00 m E. Ex = –10.0 m, Ey = 0

Q1.7 The angle  is measured counterclockwise from the positive x-axis as shown. For which of these vectors is  greatest? A. B. C. D. Answer: D

A1.7 The angle  is measured counterclockwise from the positive x-axis as shown. For which of these vectors is  greatest? A. B. C. D.

Consider the vectors shown. What is the dot product Q1.8 Consider the vectors shown. What is the dot product A. (120 m2 ) cos 78.0° B. (120 m2 ) sin 78.0° C. (120 m2 ) cos 62.0° D. (120 m2 ) sin 62.0° E. none of these Answer: C

A1.8 Consider the vectors shown. What is the dot product A. (120 m2 ) cos 78.0° B. (120 m2 ) sin 78.0° C. (120 m2 ) cos 62.0° D. (120 m2 ) sin 62.0° E. none of these

Consider the vectors shown. What is the cross product Q1.9 Consider the vectors shown. What is the cross product A. (96.0 m2 ) sin 25.0° B. (96.0 m2 ) cos 25.0° C. –(96.0 m2 ) sin 25.0° D. –(96.0 m2 ) cos 25.0° E. none of these Answer: D

A1.9 Consider the vectors shown. What is the cross product A. (96.0 m2 ) sin 25.0° B. (96.0 m2 ) cos 25.0° C. –(96.0 m2 ) sin 25.0° D. –(96.0 m2 ) cos 25.0° E. none of these

Consider the two vectors Q1.10 Consider the two vectors What is the dot product A. zero B. 14 C. 48 D. 50 E. none of these Answer: A

A1.10 Consider the two vectors What is the dot product A. zero B. 14 C. 48 D. 50 E. none of these

Consider the two vectors Q1.11 Consider the two vectors What is the cross product B. C. D. E. none of these Answer: C

A1.11 Consider the two vectors What is the cross product B. C. D. E. none of these

Consider the two vectors Q1.12 Consider the two vectors What is the dot product A. zero B. –6 C. +6 D. 42 E. –42 Answer: A

A1.12 Consider the two vectors What is the dot product A. zero B. –6 C. +6 D. 42 E. –42

Consider the two vectors Q1.13 Consider the two vectors What is the cross product A. zero B. C. D. E. Answer: C

A1.13 Consider the two vectors What is the cross product A. zero B. C. D. E.