Find angle theta between u and v to the nearest tenth of a degree?
#vecu=5hati-4hatj#
#vecv=2hati+hatj#
Please show work/explain!
Please show work/explain!
1 Answer
If two vectors are in the form:
then one computes the dot product as follows:
If two vectors are in the form:
then one computes the dot product as follows:
where
We are given two vectors in the first form:
therefore, we use form [1] to compute the dot product:
We know how to compute the magnitudes of the two vectors:
Substitute equation [3], [4], and [5] into equation [2]:
Divide both sides by
Use the inverse cosine on both sides:
You can use a calculator on the above: