Download presentation

Presentation is loading. Please wait.

Published byJaden Hart Modified over 3 years ago

1
**6.3 Vectors in the plane Day 1 Objectives: - define vectors**

- identify component form of a vector - calculate the magnitude of a vector Warm Up Find the distance between the following two points (5 , 1) & (-2 , 6)

2
**Vectors in the plane Definition:**

A vector is a quantity possessing magnitude AND direction Examples: Velocity, acceleration, magnetic fields, force, etc. A scalar is a quantity with only magnitude i.e. Speed vs. Velocity

3
Vectors in the plane Vectors are usually visualized as a directed line segment or ray on a coordinate plane. It’s direction goes from an initial point to a terminal point.

4
Vectors in the plane Note: a vector in standard position has its initial point at the origin.

5
Vectors in the plane The component form of a vector PQ with initial point (p1 , p2) and terminal point (q1 , q2) is < q1 - p1 , q2 - p2 > which can also be written as < v1 , v2 > Which can also be written as v or

6
**Vectors in the plane A vectors magnitude is its length**

The magnitude of a vector is denoted by

7
Vectors in the plane The magnitude of a vector is Which also equals

8
Vectors in the plane If = 1, then we call the vector a unit vector ( kind of like the unit circle has radius = 1)

9
**Vectors in the plane Example 1:**

Find the component form and magnitude of if its initial side is P(3 , -5) and terminal side Q(-2, 7)

10
HOMEWORK P. 453 # 3-13 ODD

Similar presentations

OK

8.5.1 – Vectors in the Cartesian Plane. The Basics Throughout math and physics, many things may be influenced by more than just a direction or length.

8.5.1 – Vectors in the Cartesian Plane. The Basics Throughout math and physics, many things may be influenced by more than just a direction or length.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on global warming free download Ppt on model view controller example Ppt on metro train in delhi Ppt on statistics in maths draw Ppt on credit default swaps history Ppt on eia report news Ppt on thermal conductivity of insulating powder Ppt on spinal cord diseases Ppt on library management system in c++ Ppt on abstract art for sale