Find a unit vector in the direction of the resultant of the vectors i - j + 3k, 2i + j - 2k and i + 2j - 2k.

Question

Find a unit vector in the direction of the resultant of the vectors \(\hat i-\hat j+3\hat k,2\hat i+\hat j-2\hat k\) and \(\hat i+2\hat j-3\hat k\)

Answer 1

To find the resultant vector we add all the vector by vector addition.

So, the unit vector \(\vec P=\cfrac{\vec P}{|\vec P|}\)

Magnitude of \(|\vec P|=\sqrt{4^2+2^2+(-1)^2}\)