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# 5.9: Vector Direction

Difficulty Level: At Grade Created by: CK-12
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### Vocabulary Language: English

angle cosines

angle cosines

Angle notation or angle cosines describe a vector as the result of individual magnitudes and directions as measured from the axes, starting at the origin.
angle notation

angle notation

Angle notation or angle cosines describe a vector as the result of individual magnitudes and directions as measured from the axes, starting at the origin.
Component notation

Component notation

Component notation is used to describe vectors algebraically in terms of their $x$, $y$ and, if relevant, $z$ components.
direction angles

direction angles

Direction angles (also known as direction cosines) describe a vector as the result of individual magnitudes and directions as measured from the axes, starting at the origin.
direction cosines

direction cosines

Direction cosines (also known as direction angles) describe a vector as the result of individual magnitudes and directions as measured from the axes, starting at the origin.
dot product

dot product

The dot product is also known as inner product or scalar product. The two forms of the dot product are $\vec{a} \cdot \vec{b} = \Big \| \vec{a}\Big \| \ \Big \| \vec{b}\Big \| \cos \theta$ and $\vec{a} \cdot \vec{b} = x_a x_b + y_a y_b$.
position vector

position vector

A position vector describes the straight-line travel between a starting point (usually the origin) and the location of a second point on a coordinate plane.
unit vector

unit vector

A unit vector is a vector with a magnitude of one.

Nov 01, 2012

Jun 08, 2015