Question

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

Answer 1

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