Vectors Flashcards

1
Q

Magnitude of vector

A

sqrt(x^2+y^2+z^2)

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2
Q

Unit vector

A

v/IvI

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3
Q

v•w

A

xx+yay+zz

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4
Q

v•w=0

A

Perpendicular

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5
Q

Scalar projection of v onto u

A

uv/IuI

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6
Q

Vector projection of v onto u

A

uv/IuI^2*u

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7
Q

If VXW=0

A

Vectors parallel

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8
Q

Area of parallelogram

A

IuXvl

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9
Q

Volume vectors

A

a•(bxc)

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10
Q

Equation of a line

A

Point+ parallel vector

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11
Q

Parametric equation of a line

A

x=x+ta
y=y+tb
z=z+tc

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12
Q

Equation of a plane and parts to get it

A

Point and perpendicular vector, a(x-x)+b(y-y)+c(z-z)=0

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