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## Homework Statement

If (3,2,2) are the Cartesian components of vector

**and (2,2,1) are the Cartesian coordinates of a point Q, calculate the distance of a plane through point Q and normal to vector**

__a__**from the origin.**

__a__State whether the plane is in the direction of

__from the origin or not.__

**a**## Homework Equations

(

**°**= dot product)

p = n̂

**°**

__r__## The Attempt at a Solution

**= (3,2,2)**

__a__therefore magnitude of

**= √17**

__a__unit vector of a = 1/√17 (3,2,2)

p = n̂

**°**

__r__p = 1/√17 (2,2,1)

**°**(3,2,2)

p = 1/√17 (6,4,2)

The second part of the question above asks "

*State whether the plane is in the direction of*." Wasn't sure how to do this. If the question was about them being orthogonal I'd have used dot product = 0.

**from the origin or not**__a__
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