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Chapter 3: Q. 2 (page 77)

If C→=A→+B→,Can C>A+B?For each, show how or explain why not

Short Answer

Expert verified

Ccan be equal to A+BBut C cannot be greater thanA+B.

Step by step solution

01

Step 1. Given information

It is given that C→=A→+B→.We need to write can C=A+Band C>A+B.If yes we need to show how or if not then we need to explain why not.

02

Step 2. Explanation

In general, the three vectors A→,B→,and,A→+B→=C→form. Since the basic triangle property states that the sum of any two sides is greater than the third.

But C=A+Bin case A→,B→are in the same position.

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Most popular questions from this chapter

Kami is walking through the airport with her two-wheeled suitcase. The suitcase handle is tilted 40° from vertical, and Kami pulls parallel to the handle with a force of 120 N. (Force is measured in newtons, abbreviated N.) What are the horizontal and vertical components of her applied force?

Let, A→=4i^-2j^,B→=-3i^+5j^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 the vectorC→?

If C→=A→+B→,Can C=0?Can C<0?For each, show how or explain why not.

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, then find its magnitude and direction.

a.B=−4i^+4j^

b.r→=(−2.0i^−1.0j^)cm

c.v→=(−10i^−100j^)m/s

d.a=(20i^+10j^)m/s2
See all solutions

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