 
Summary: Math 213001
Assignment # 1
Due: Sept 22nd, 2011
1. Calculate u + v, u  v, u , v , 5v, 
2u.
(a) u = 2i  3 + 5k, v =
2i + 6  5k
(b) u = 2i  5, v = i + 5  k
(c) u = i + + k, v = 2i  2 + 3k.
2. Find parametric equations of the straight line containing the given
points. Write also the normal form.
(a) (1, 0, 4), (2, 1, 1)
(b) (2, 1, 1), (2, 1, 2)
(c) (4, 2, 5), (1, 1, 5)
3. Compute the dot product of the two vectors. Determine the cosine of
the angle between them, and answer whether they are orthogonal or
not
(a) i, 2i  3 + k
