Question

Find the magnitude of the vector \[\vec{a} = 2 \hat{i} + 3 \hat{j} - 6 \hat{k} .\]

Answer 1

Given: \[\vec{a} = 2 \hat{i} + 3 \hat{j} - 6 \hat{k} .\]
∴ Magnitude of the vector = \[\left| \vec{a} \right| = \sqrt{2^2 + 3^2 + \left( - 6 \right)^2} = \sqrt{4 + 9 + 36} = \sqrt{49} = 7\]