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Chapter 3: Q. 8 (page 77)

Suppose two vectors have unequal magnitudes. Can their sum be zero? Explain.

Short Answer

Expert verified

No, their sum cannot be zero.

Step by step solution

01

Step 1. Given information

We need to suppose that the vector has equal magnitude. We need to write can their sum is zero also we need to explain it.

02

Step 2. Explanation

If we walk 10meter north and 6meter south. We won't end up walking we started. Thus, the sum of two vectors can only be zero if they are in the opposite direction and have the same magnitude.

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Most popular questions from this chapter

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→?

Can the magnitude of the displacement vector be more than the distance traveled? Less than the distance traveled? Explain

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→?

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

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

(a) A→+B→and (b) A→−B→
See all solutions

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