1. The problem statement, all variables and given/known data If (3,2,2) are the Cartesian components of vector a 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. State whether the plane is in the direction of a from the origin or not. 2. Relevant equations (° = dot product) p = n̂ ° r 3. The attempt at a solution a = (3,2,2) therefore magnitude of a = √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 a from the origin or not." Wasn't sure how to do this. If the question was about them being orthogonal I'd have used dot product = 0.