Question

Given the plane 3x+2y+5z=54 and the points P0(6, 8, 4)[on plane] and P1(13, 18, 5) [not on plane]

A. Find vector n, a vector normal to the plane

B. Find vector v from P0 to P1

C. Find the angle between vector n and vector v

D. Find p, the scalar projection of vector v on vector n

Answer 1

I have:
A. vector n= 3*vector i + 2*vector j + 5* vector k

B. vector v= 7*vector i + 10*vector j + vector k

C. 52.46 degrees

And I'm not quite sure for D...