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Chapter 3: Q. 2b (page 77)

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

(a) A→+B→and (b) A→−B→

Short Answer

Expert verified

Part (a)

Part (b)

Step by step solution

01

Part (a)

Place the tail of vector B→on the tip of vector A→and then connect the tail of vector A→with the tip of the vector B→as shown below


02

Part (b)

To find A→−B→=A→+(−B→), place the tail of vector −B→on the tip of vector A→and then connect the tail of A→vector with the tip of the vector (−B→)as shown below:

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Most popular questions from this chapter

Let A→=4i^-2j^,B→=-3i^+5j^andD→=A→-B→.

a. Write vector D→in component form.

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

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

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.

Let C→=3.15m,15∘abovethenegativex-axisand D→=25.6m,30∘totherightofthenegativey-axis. Find the x- and y-components of each vector.

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

Let A→=4i^−2j^, B→=−3i^+5j^and C=A+B.

a. Write vector C→in component form.

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

c. What are the magnitude and direction of vector C→?
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