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Chapter 3: Q. 1 (page 77)

Trace the vectors in FIGURE EX3.1 onto your paper. Then find.

(a)A→+B→and (b)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, dds

We need to trace the figure and determineA→+B→.

02

Step 2. Calculationk

By vector addition,

A→+B→=A1+B1,A2+B2.

03

Part (b) Step 1. Given information

The given figure is,

We need to trace the figure and determineA→-B→.

04

Step 2. Calculation

By vector subtraction,

A→-B→=A→+-B→.

=A1-B1,A2-B2.

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Most popular questions from this chapter

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, A→=2i^+3j^,B→=2i^-4j^andC→=A→+B→.

a. Write vector C→in component form.

b. Draw a coordinate system and on it show vectors A→,B→andC→.

c. What are the magnitude and direction of vectorC→?

I A runner is training for an upcoming marathon by running around a 100-m-diameter circular track at constant speed. Let a coordinate system have its origin at the center of the circle with the -axis pointing east and the -axis north. The runner starts at and runs \(2.5\) times around the track in a clockwise direction. What is his displacement vector? Give your answer as a magnitude and direction.

1. I Trace the vectors in FIGURE EX3.1 onto your paper. Then find

(a) A→+B→and (b) A→−B→

II Draw each of the following vectors, label an angle that specifies the vector's direction, and then find the vector's magnitude and direction.

a.A→=3i^+7j^

b.a=(−2i^+4.5j^)m/s2

c.v→=(14i^−11j^)m/s

d.r→=(−2.2i^−3.3j^)m
See all solutions

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