solve i+2g+k

Question

find the unid vector in the direction of       a)i+2j+k    b)2i-j-3k

Answer 1

a) i+2j+k has a magnitude of √(1+4+1)=√6.

The unit vector is i/√6+2j/√6+k/√6, which can be written i√6/6+j√6/3+k√6/6.

b) 2i-j-3k has a magnitude of √(4+1+9)=√14.

The unit vector is 2i/√14-j/√14-3k/√14 or i√14/7-j√14/14-3k√14/14.