Question

Find unit vector parallel to
resultant of vectors A =2i-6j-3k
and B = 4 i +3j - k​

Answer 1

A vector=(2,-6,-3)

B vector=(4,3,-1)

A vector+B vector=(2,-6,-3)+(4,3,-1)

=(2+4,-6+3,-3-1)

=(6,-3,-4)

||A vector+B vector||=√6^2+(-3)^2+(-4)^2

= √61

Unit vector= A vector+B vector/||A vector+B vector||

=1/√61 (6,-3,-4)

=6/√61,-3/√61,-4/√61