SOLUTION: Approximate the angle between the two vectors 4i-3j and 4i+3j.

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Question 91469: Approximate the angle between the two vectors 4i-3j and 4i+3j.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
To calculate the angle between the vectors and use this formula:

where is the magnitude (ie length) of vector and is the magnitude (ie length) of vector

Calculate the dot product in the numerator and the magnitudes in the denominator


So we have this equation:



Now take the arccosine of both sides to isolate





So

radians

The angle in degrees is:



So the angle is
degrees