This is a draft cheat sheet. It is a work in progress and is not finished yet.
Cartesian coordinates (x,y,x)
The planes determined by the coordinate axes are |
the xy-plane, whos equation is z=0 (rectangular coordinate system) |
the yz-plane, whos equation is y=0 |
the xz-plane, whose equation is x=0 |
They all meet at the origin, (0,0,0) |
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Distance and Spheres in Space
P 1
=(X 1
,Y 1
,Z 1
), P 2
= (X 2
,Y 2
,Z 2
)
√[(X 2
-X 1
) 2 + (Y 2
-Y 1
) 2 + (Z 2
-Z 1
) 2] |
Vectors
Force vectors |
points in the direction in which the force acts and its length is a measure of the force's strength |
Velocity vector |
points in the direction of motion and its length is the speed of the moving object |
Vectors |
represented by line segment AB has initial point A and terminal point B and its length is denoted by |AB| |
component form in 2D |
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component form in 3D |
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Two vectors equal if and only if their standard position vectors are identical. |
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