Find unit vector parallel to the resultant of the vectors A = i + 4j - 2k and B = 3i - 5j + k.

Question

Find unit vector parallel to the resultant of the vectors \(\overset\rightarrow{A}\) = i + 4j - 2k and \(\overset\rightarrow{B}\) = 3i - 5j + k.

Answer 1

The resultant of \(\overset\rightarrow{A}\) and \(\overset\rightarrow{B}\) is,

The unit vector parallel to \(\overset\rightarrow{R}\) is,

The required unit vector is \(\frac{1}{3\sqrt{2}}(4\hat{i}-\hat{j}-\hat{k})\)