Question

The unit vector in the direction of the vector $\vec{i}+2\vec{j}-\vec{k}$ is equal to

• A. $\frac{\vec{i}+2\vec{j}-\vec{k}}{\sqrt{6}}$
• B. $\frac{\vec{i}+2\vec{j}-\vec{k}}{3}$
• C. $\frac{\vec{i}+2\vec{j}-\vec{k}}{4}$
• D. $\frac{\vec{i}+2\vec{j}-\vec{k}}{6}$

Answer 1

Answer: (A)

Unit vector in the direction of given vector is $\frac{\vec{i}+2\vec{i}-\vec{i}}{\sqrt{1+4+1}}=\frac{\vec{i}+2\vec{j}-\vec{k}}{\sqrt{6}}$