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Lecture 8: Vector Components Average amount spent lobbying Congress each day it was in session last year: $16,279,069
Vector Components y x A AxAx AyAy θ
y x A x < 0 AyAy θ φ
y x AyAy AxAx θ Given A and θ we found A x and A y Given A x and A y, find A and θ
Given A and θ we found A x and A y Given A x and A y, find A and θ Cx = C sin φ φ C y = C cos φ
Adding vectors numerically Also called algebraic addition What would subtraction look like? Scalar multiplication?
Slide 3-13 Which of the vectors below best represents the vector sum P + Q ?
Slide 3-14 Which of the vectors below best represents the vector sum P + Q ? Answer
Slide 3-15 Which of the vectors below best represents the difference P – Q ?
Slide 3-16 Which of the vectors below best represents the difference P – Q ? Answer
What are the x- and y-components of these vectors? A.3, 2 B.2, 3 C.-3, 2 D.2, -3 E.-3, -2 Slide 3-19
What are the x- and y-components of these vectors? A.3, -4 B.4, 3 C.-3, 4 D.4, -3 E.-3, -4 Slide 3-21
The following vectors have length 4.0 units. What are the x- and y-components of these vectors? A.3.5, 2.0 B.-2.0, 3.5 C.-3.5, 2.0 D.2.0, -3.5 E.-3.5, -2.0 Slide 3-23
A x is the __________ of the vector A. 1.Magnitude 2.X-component 3.Direction 4.Size 5.displacement
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Copyright © 2007, Pearson Education, Inc., Publishing as Pearson Addison-Wesley. Vectors, coordinate systems, and components Motion Models Problem Solving.
ME 221Lecture 51 ME 221 Statics Lecture #5 Sections 2.6 – 2.7.
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Vectors Readings: Chapter 3. Vectors Vectors are the objects which are characterized by two parameters: magnitude (length) direction These vectors are.
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