SOLUTION: a) Two vectors (a) and (b) have an angle of 75° when placed tail to tail. If a=8 and b=11 then find the vector sum. b) Determine a unit vector in the same direction as the vec

Algebra ->  Vectors -> SOLUTION: a) Two vectors (a) and (b) have an angle of 75° when placed tail to tail. If a=8 and b=11 then find the vector sum. b) Determine a unit vector in the same direction as the vec      Log On


   



Question 1200466: a) Two vectors (a) and (b) have an angle of 75° when placed tail to tail. If a=8
and b=11 then find the vector sum.
b) Determine a unit vector in the same direction as the vector sum from a).

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
a) Two vectors (a) and (b) have an angle of 75° when placed tail to tail. If a=8
and b=11 then find the vector sum.
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It's a triangle with 2 sides and the included angle of 105 degs.
Use the Cosine Law:
r^2 = 8^2 + 11^2 - 2*8*11*cos(105)
r^2 = ~230.55
r = ~15.18
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b) Determine a unit vector in the same direction as the vector sum from a).