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Equivalent vectors have the same

magnitude and direction

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Magnitude is also called

distance

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A symbol for Magnitude is

llVll

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Component form of a vector is

(V1, V2)

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To find component form, you need to remember

Terminal - Initial

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To get 2 vectors into one, you...

add them together

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To find the magnitude you....

√(〖V1〗^2+〖V2〗^2 )

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Vector addition:

add V1 and U1, and add V2 and U2

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Scalar multiplication:

(KV1, KV2)

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A negative scalar....

Reverses the direction of the vector

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A vector u in length llull = 1

is a unit vector

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Formula to find the unit vector in the direction of v is

v / llvll (vector / magnitude)

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If the direction is negative...

add 180 degrees until it's in the correct quadrant!

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Direction angle formula

tan^(-1)〖y/x〗

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true direction

direction formulla

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Dot product formula for u . v

(U1 ** V1) + (U2 ** V2)

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Vectors orthogonal if they equal

0

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Find parallel by

looking at ratios between components

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Space vectors are

(V1, V2, V3)

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