SOLUTION: Find the angle between the vectors [-5]and [2] [ 3] [4] theta arc cos (-13over square root 225 square root 64) I don't know what to do to finish this off.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Find the angle between the vectors [-5]and [2] [ 3] [4] theta arc cos (-13over square root 225 square root 64) I don't know what to do to finish this off.      Log On


   

Question 191763This question is from textbook saxon algebra2
: Find the angle between the vectors
[-5]and [2]
[ 3] [4]
theta arc cos (-13over square root 225 square root 64)
I don't know what to do to finish this off. This question is from textbook saxon algebra2

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 dot product of vectors "a" and "b", is the magnitude (ie length) of vector , and is the magnitude (ie length) of vector


Note: I'm assuming you are familiar with these concepts.


So...






Now we have this equation:





Now take the arccosine of both sides to isolate









So


radians


Note: The angle in degrees is approximately:





Or simply


degrees