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  4. The unit vector in the direction of the vector veci + 2 vecj - veck is equal to

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

COMEDKCOMEDK 2012Vector Algebra

Solution:

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