Question

If `veca=xhati+2hatj-zhatk and vecb=3hati-yhatj+hatk` are two equal vectors ,then write the value of x+y+z

Answer 1

Given `veca=xhati+2hatj-zhatk and vecb=3hati-yhatj+hatk` are two equal vectors 

`therefore xhati+2hatj-zhatk=3hati-yhatj+hatk`

x=3,y=-2,z=-1

x+y+z=3+(-2)+(-1)=0

Therefore, the value of x + y + z is 0.