Consider the three points: A=(9, 8), B=(7, 10), C=(10, 6). What is the angle between AB and AC?
I thought you had to use the distance formula and dot product, but nothing seems to be working and I'm just generally confused on how to go about this. Thanks in advance!
I thought you had to use the distance formula and dot product, but nothing seems to be working and I'm just generally confused on how to go about this. Thanks in advance!
2 Answers
Explanation:
The vector
The vector
To compute the dot product, we multipy the
Another definition for the dot product is:
where
Compute
Substituting the known information into equation [1]:
Solve for
Explanation:
Let,
Given that,
Then, by the Distance Formula,
By the Cosine Formula, then, we have,