Find the value of `x ,\ y\ a n d\ z` so that the vectors ` vec a=x hat i+2 hat j+z hat k\ a n d\ vec b=2 hat i+y hat j+ hat k` are equal.

Explanation

`\vec{a}=x \hat{i}+2\hat{j}+2 \hat{k}`


`\vec{b}=2 \hat{i}+y \hat{j}+\hat{k}`


`x=2`

`y=2` `z=1`