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A vector vec n f magnitude 8 units is i...

A vector ` vec n` f magnitude 8 units is inclined to x-axis at `45^0` , y-axis at `60^0` and an acute angle with z-axis. If a plane passes through a point `(sqrt(2),-1,1)` and is normal to ` vec n` , find its equation in vector form.

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The correct Answer is:
`r*(sqrt(2)hat(i)+hat(j)+hat(k))=2`
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