Question

Write two different vectors having same magnitude.

Answer 1

Let \[\overrightarrow{a} = 2 \hat{i} - \hat{j} + 3 \hat{k}\] and \[\overrightarrow{b} = - 2 \hat{i} + \hat{j} - 3 \hat{k}\] 
It can be observed that
\[\left| \overrightarrow{a} \right| = \sqrt{2^2 + \left( - 1 \right)^2 + 3^2} = \sqrt{14} \]
\[\left| \overrightarrow{b} \right| = \sqrt{\left( - 2 \right)^2 + 1^2 + \left( - 3 \right)^2} = \sqrt{14}\]
Hence, \[\overrightarrow{a}\] and \[\overrightarrow{b}\] are two vectors having same magnitude.