3D Vectors

Hello, as you may or may not have noticed I have not been in class for quite some time. So... I have borrowed some nuggets from some of my blogger friends to put this wonderful post together. Enjoy! 

Component form: v=<v1, v2, v3>

Unit vector form: v=v1i+v2j+v3k

Length formula: 

Length can also be called tension or magnitude. 

Unit Vector:

Vector addition and dot product:

Angle between two vectors formula:

Orthogonal if...

-The dot product between the two vectors is 0

-The angle between the vectors is 90 degrees

Parallel if...

u=cv

Vector 1=(constant)(vector 2) 

-the points are collinear