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Chapter 3: Q. 7 (page 77)

Can a vector have zero magnitudes if one of its components is nonzero? Explain.

Short Answer

Expert verified

It is not possible to have a vector of zero magnitude when one of its components is non-zero.

Step by step solution

01

Step 1. Given information

A vector of zero magnitude is nothing but zero vector. If a vector R鈫�is inclined by an angle 胃 with respect to x-axis then x-component of is Rcos胃 and its y- component isRsin胃 .

02

Step 2. Explanation

If vector R鈫� is a zero vector, then its magnitude R = 0 . It means that both of its components Rcos胃 andRsin胃 terms should be equal to zero.

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Most popular questions from this chapter

II A flock of ducks is trying to migrate south for the winter, but they keep being blown off course by a wind blowing from the west at 6.0m/s. A wise elder duck finally realizes that the solution is to fly at an angle to the wind. If the ducks can fly at 8.0m/srelative to the air, what direction should they head in order to move directly south?

a. What are the x- and y-components of vector shown in FIGURE EX3.3 in terms of the angle胃 and the magnitude E?

b. For the same vector, what are the x- and y-components in terms of the angle 胃and the magnitude E?

Is it possible to add a scalar to a vector? If so, demonstrate. If not, explain why not.

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

(a) A鈫�+B鈫�and (b) A鈫�鈭�B鈫�

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