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22 terms

Math Vectors

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Equivalent vectors have the same
magnitude and direction
Magnitude is also called
distance
A symbol for Magnitude is
llVll
Component form of a vector is
(V1, V2)
To find component form, you need to remember
Terminal - Initial
To get 2 vectors into one, you...
add them together
To find the magnitude you....
√(〖V1〗^2+〖V2〗^2 )
Vector addition:
add V1 and U1, and add V2 and U2
Scalar multiplication:
(KV1, KV2)
A negative scalar....
Reverses the direction of the vector
A vector u in length llull = 1
is a unit vector
Formula to find the unit vector in the direction of v is
v / llvll (vector / magnitude)
If the direction is negative...
add 180 degrees until it's in the correct quadrant!
Direction angle formula
tan^(-1)⁡〖y/x〗
Speed
magnitude
total force
magnitude
true direction
direction formulla
Dot product formula for u . v
(U1 V1) + (U2 V2)
orthogonal
perpendicular
Vectors orthogonal if they equal
0
Find parallel by
looking at ratios between components
Space vectors are
(V1, V2, V3)