What is a vector
A quantity that has both magnitude or distance and direction
Scalar vectors
only have magnitude and are used with vector quantities
opposite vector
same magnitude but different direction
Displacement Vectors
the final position of a vector after a series of movements
Magnitude Formula
IaI = sqrt(x^2+y^2)
Unit vector
points in the direction of a vector but has a magnitude of 1
U = < a/ IvI …>
IvI = sqrt(a^2+b^2+c^2)
example of finding unit vector
v = <-1,-3,-4>
do it on paper
Normal vectors
Perpendicular to another vector (infinite number of them)
a x b = IaI IbI cos theta
a x b = 0
Dot product
<a1,a2,a3> <b1,b2,b3>
a1Xb1. + a2Xb2. …..
For angles
a.b = IaI IbI cos(theta)