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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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