# If a=xi+2j−zk and b=3i−yj+k are two equal vectors ,then write the value of x+y+z - Mathematics

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

#### Solution

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.

Concept: Vectors and Their Types
Is there an error in this question or solution?

Share