Stuck on this problem for my class for a bit, I'm not sure exactly how to solve it. If someone could point me in the right direction I would really appreciate it.
What I have so far
Given the points: A = ( 3, -4, 2) B = (-1, -3, 5)
and the vector:
n = 2i + 5j - k
Find the displacement vector of AB = (-4, 1, 3)
Calculate the dot product (scalar product) OA . n = -16
Let THETA be the angle between the vectors OA and n. THETA is greater than 90 degrees.
Now here is where I'm stuck.
The vector OA is to be expressed as a sum OA = kn + b, where k is a scalar and b is a vector perpendicular to n. Determine the value of k in this expression.
Using your answer from the last question, calculate the vector b.
I know the answer is staring me in the face but I'm feeling very math-illiterate.