Question 1206234: Two vectors a and B have components in arbitrary units ax=3.2, ay= 1.6, bx=0.50, by=4.5
a) find the angle between a and B
b) Find the components of a vector C that is perpendicular to a and is in the x-y plane, and has magnitude of 5.0 units
Answer by ikleyn(52778)   (Show Source):
You can put this solution on YOUR website! .
Two vectors a and B have components in arbitrary units ax=3.2, ay= 1.6, bx=0.50, by=4.5
a) find the angle between a and B
b) Find the components of a vector C that is perpendicular to a and is in the x-y plane,
and has magnitude of 5.0 units
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We are given vectors A and B (both letters are CAPITAL).
A = (Ax,Ay) = (3.2,1.6), B = (Bx,By) = (0.5,4.5).
To find the angle  between vectors A and B, use the cosine formula
via the scalar product of the vectors
 =  =  = 0.54325 (rounded).
So, = arccos(0.54325}}} = 0.99649 radians = 57.095 degrees (rounded).
Solved.
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From my post, learn BOTH
(a) how to solve the problem, and
(b) how to write vectors and their components consistently.
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