Question 5
Given the following three points A(3,4,0), B(1,0,2) and C(-2,1,2) find:
1 - The vectors AC (from A to C) [ac], AB (from A to B) [ab] and BC (from B to C) [bc]
2- The unit vector in the direction of AB. [u_ab]
3- The angle between AB and BC. [angle]
4- The vector projection of AB in the direction of AC. [pro]_ab_ac]
5- The cross product AB x AC. [corss_ab_ac]
6- A unit vector normal to both AB and AC. [cross_norm]
7- Convert point A into spherical coordinate. [a_spherical]
8- Convert the vector AC into cylindrical coordinate at the point (1, 1, 0). [ac_clyind]
