Vector with given magnitude and direction cosines for JEE

Formula

\(\vec{a}=|\vec{a}|(l\hat{i}+m\hat{j}+n\hat{k})\)

Variables: \(|\vec{a}|\) is magnitude; \(l,m,n\) are direction cosines.

Conditions: \(l^2+m^2+n^2=1\).

Building a vector from its magnitude and direction.