What is the angle between #<3 , -2 , 7 > # and # < 5, -3 , 2 > #?
the angle is approximately 43.86 degrees
The formula for finding the angle between vectors is:
So first we need to find the dot product of the two vectors.
The dot product can be found simply adding up each corresponding element:
The magnitude can be found by square rooting the sum of the squares of the elements of a vector.
So now we have:
That, according to the calculator, equals to 43.86.
Alternatively, you can use the sine formula, which utilizes the cross product instead of the dot product, and it is slight more complicated.