How do you find the angle between the vectors #u=2i-j# and #v=i-2j#?
2 Answers
Please see the explanation for a description of the process.
Explanation:
Compute the dot-product by multiplying the
A second way to compute the dot-product uses the magnitude of the two vectors and the cosine of the angle between the two vectors:
We know that the dot-product is 4, therefore, we need to compute the magnitude of the two vectors and then solve for the angle between,
Substitute into equation [1] and then solve for
The angle is
Explanation:
The angle between two vectors is given by the dot product definition.
where
so,
The dot product is
The modulus of
The modulus of
So,