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Chapter 3: Q. 2 (page 77)

Trace the vectors in FIGURE EX3.2 onto your paper. Then find.

(a) A→+B→and (b) A→-B→localid="1649527132367" A→-B→.

Short Answer

Expert verified

(a) A→+B→=A1+B1,A2+B2.

(b) A→-B→=A1-B1,A2-B2

Step by step solution

01

Part (a) Step 1. Given information

The given figure is,

We need to determine,

A→+B→.

02

Step 2. Calculation

The given figure is,

By vector addition,

A→+B→=A1+B1,A2+B2.

03

Part (b) Step 1. Given information

The given figure is,

We need to determine,

A→-B→.

04

Step 2. Calculation

The given figure is,

By vector subtraction,

A→-B→=A1-B1,A2-B2

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Most popular questions from this chapter

Are the following statements true or false? Explain your answer.

a. The magnitude of a vector can be different in different coordinate systems.

b. The direction of a vector can be different in different coordinate systems.

c. The components of a vector can be different in different coordinate systems.

II You go to an amusement park with your friend Betty, who wants to ride the 30 -m-diameter Ferris wheel. She starts the ride at the lowest point of a wheel that, as you face it, rotates counter clockwise. What is her displacement vector when the wheel has rotated by an angle of 60°? Give your answer as a magnitude and direction.

II The minute hand on a watch is2.0cmin length. What is the displacement vector of the tip of the minute hand

a. From \(8: 00\) to \(8: 20\) A.M.?

b. From \(8: 00\) to \(9: 00\) A.M.?

6. I Draw each of the following vectors. Then find its - and components.

a.a→=3.5m/s2, negative x-direction)

b.v→=440m/s,30°below the positive x-axis )

c.r→=12m,40° above the positive x-axis )

Let E→=2i^+3j^andF→=2i^-2j^.Find the magnitudes of

a.E→andF→b.E→+F→c.-E→-2F→
See all solutions

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