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Math 213-001 Assignment # 1
 

Summary: Math 213-001
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

  

Source: Argerami, Martin - Department of Mathematics and Statistics, University of Regina

 

Collections: Mathematics