Wednesday, April 9, 2014

11.2: 3-D Vectors


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 

Math joke of the day:
















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