OpenStudy (laughoutloud):

Find the angle between the given vectors to the nearest tenth of a degree. u = <-5, -4>, v = <-4, -3> -9.1° 1.8° 0.9° 11.8°

1 year ago
OpenStudy (jabberwock):

The first thing to know is the dot product between two vectors. Are you familiar with the dot product?

1 year ago
OpenStudy (jabberwock):

$v \cdot u=||v|| ||u||\cos(\theta)$ You can calculate the dot product of the vectors (on the left side). You can calculate the magnitudes of the vectors on the right side (using the Pythagorean Theorem). Isolate the cos(theta) Then you can take the inverse cosine to solve for theta.

1 year ago
OpenStudy (mathmale):

Yes, this is precisely the correct approach. Laugh: Please solve this equation for cos theta. type out your result here.

1 year ago
OpenStudy (mathmale):

Further questions welcome, if you need clarification.

1 year ago