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

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

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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
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