Question #fc58a

1 Answer
Jan 28, 2017

Let there be two vectors

#vecP=ahati+bhatj+chatk#

and

#vecQ=ehati+fhatj+ghatk#

Their resultant will be

#vecR=vecP+vecQ=(a+e)hati+(b+f)hatj+(c+g)hatk#

Let #(a+e)=x ;(b+f)=y and (c+g)=z#

So

#vecR=xhati+yhatj+zhatk#

So unit vector parallel to the resultant will be

#hatr=(vecR)/abs(vecR)=(vecR)/sqrt(x^2+y^2+z^2)#