Given two vectors A=9i+1j+9k and B=12i-12j+10k find:
a) Their dot product AB
b) Their cross product AxB
c)The angle between the vectors A and B
d) a vector C that is parallel with A and has the same magnitude as B
e) A vector C that is perpendicular to A and has the same magnitude as B
dot product: AB=AxBx+AyBy+AzBz
The Attempt at a Solution
I got a, b, and c.
c) 42 deg.
d and e) I have no idea how to get the vector to be parallel or perpendicular to A with the same magnitude as B. Just want a simple explanation please!