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Chapter 1: Q15DQ (page 58)

can you find out a vector quantity that has a magnitude of zero but components that are not zero? explain can the magnitude of vector be less than magnitude of any of its component? Explain

Short Answer

Expert verified

vectors are quantities that have both direction and magnitude stop they are different from the quantity scalars. Scalars are the entities which are having only magnitude and no direction.

Step by step solution

01

Introduction

No,a vector cannot be zero magnitude if one of its components is not zero.

02

Explanation

The magnitude of the vector is computed as the sum of the square of its elements however if those elements are complex numbers then it is possible that the vector has a zero magnitude.

The magnitude of any resultant vector of two components cannot be smaller than any of its component vectors because the positive combination.

It is concluded by the discussion that Vector quantities cannot be of zero magnitude.

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