Write two different vectors having same magnitude. - Vidyadip

Question

Write two different vectors having same magnitude.

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Answer

Let $\vec{\text{a}}=2\hat{\text{i}}-\hat{\text{j}}+3\hat{\text{k}}$ and $\vec{\text{b}}=-2\hat{\text{i}}+\hat{\text{j}}-3\hat{\text{k}}$
It can be observed that
$|\vec{\text{a}}|=\sqrt{2^2+(-1)^2+3^2}=\sqrt{14}$
$\big|\vec{\text{b}}\big|=\sqrt{(-2)^2+1^2+(-3)^2}=\sqrt{14}$
Hence, $\vec{\text{a}}\text{ and }\vec{\text{b}}$ are two vectors having same direction.

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