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If vec a=x hat i+2 hat j-\ z hat k and ...

If ` vec a=x hat i+2 hat j-\ z hat k` and ` vec b=3 hat i-\ y hat j+ hat k` are two equal vectors, then write the value of `x+y+zdot`

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`vec(a)=vec(b)rArr(xhat(i)+2hat(j)-zhat(k))-(3hat(i)-yhat(j)+hat(k))`
`rArr x=3, -y=2 and -z=1 rArr x=3, y=-2 and z=-1`
`rArr (x+y+z)=[3+(-2)+(-1)]=0`.
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