# HW-1 - HW-1 1 For the two vectors A x 2 y z and B 2 x 3 y z...

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HW-1 1. For the two vectors z y x A 2 and z y x B 3 2 , find (a) B A and B A , (b) component of B along A , (c) angle between A and B , (d) B A , (e) B A B A . 2. A , B , and C are three vectors pointing from the origin of a coordinate to three points A, B, and C, respectively. Find the distance between the origin to the ABC plane and the area of the ABC triangle. Express your result in terms of A , B , and C vecotrs. 3. Find the angle between the surface normal directions of r 2 =9 and x+y+z 2 =1 at the joined point of (2,-2,1). 4. Calculate the divergence and the curl of the following functions:
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