Discuss the below:
Given: position vector A = i^ position vector B = i ^ + j ^ + k ^
1) Find A hat and B hat (unit vector in that direction).
2) Find position vector C in that plane perpendicular to position vector A.
3) Find position vector D in that plane perpendicular to position vector B.
4) Say position vector Q = position. vector A cross position vector B. Take Q across A such that is orthogonal to that plane.
5) If a vector is vector is orthogonal to A what does that mean?
6) Find C hat and D hat which are normalized vectors. What is a normalized vector?
7) Show by taking B across C, that the vector is now along Q.
8) If you take B across C you get a row vector E = B cross C, show that.