(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

If (3,2,2) are the Cartesian components of vectoraand (2,2,1) are the Cartesian coordinates of a point Q, calculate the distance of a plane through point Q and normal to vectorafrom the origin.

State whether the plane is in the direction ofafrom the origin or not.

2. Relevant equations

(°= dot product)

p = n̂°r

3. The attempt at a solution

a= (3,2,2)

therefore magnitude ofa= √17

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.afrom the origin or not

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# Homework Help: Simple Vector / Plane question

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