Question

Compute the magnitude of the following vectors :

\(\vec{a} = \hat{i} + \hat{j} + \hat{k}\)

\(\vec{b} = 2\hat{i} - 7\hat{j} - 3\hat{k}\)

\(\vec{c} = \frac{1}{\sqrt3}\hat{i} + \frac{1}{\sqrt 3}\hat{j} - \frac{1}{\sqrt 3}\hat{k}\)

Answer 1

Magnitude of vector \(\vec{a}\)

 Magnitude of vector \(\vec{b}\)

and  magnitude of vector \(\vec{c}\)

Magnitudes of   \(\vec{a}\),   \(\vec{b}\) and   \(\vec{c}\) are √3, √62 and 1 respectively.