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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

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.

Step 2. Explanation

If we walk $10$ meter north and $6$ meter 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

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

a. $B = - 4 \hat{i} + 4 \hat{j}$

b. $\vec{r} = (- 2.0 \hat{i} - 1.0 \hat{j}) cm$

c. $\vec{v} = (- 10 \hat{i} - 100 \hat{j}) m / s$

d. $a = (20 \hat{i} + 10 \hat{j}) m / s^{2}$

5. I A position vector in the first quadrant has an x-component of 6m and a magnitude of 10m . What is the value of its y-component?

Can a vector have a component equal to zero and still have nonzero magnitude? Explain.

How would you define the zero vector $\vec{0} ?$

Let $\vec{C} = (3.15 m, 15^{°}$ above the negative $x$ -axis ) and $\vec{D} =$ $(25.6 m, 30^{°}$ to the right of the negative $y$ -axis). Find the $x$ -and - $y$ components of each vector.

See all solutions

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

Short Answer

Step by step solution

Step 1. Given information

Step 2. Explanation

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Most popular questions from this chapter

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