Vectors Flashcards

1
Q

Component Form of a Vector

A

v = (Q1 - P1,Q2 - P2)

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2
Q

Magnitude of a Vector

A

||v|| = √(q1 - p1)² + (q2 - p2)²

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3
Q
P = ?
Q = ?
A
P = initial point
Q = terminal point
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4
Q

To find a unit vector, u = ?

A

u = v/||v||

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5
Q

Component Form of a vector given θ

A

v = ||v||cosθi + ||v||sinθj

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6
Q

Angle (θ) Between

A

θ = cos^-1[(u)(v)/(||u||)(||v||)]

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7
Q

The vectors are orthogonal (perpendicular) if…

A

(f)(u) = 0

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8
Q

The vectors are parallel if…

A

u = k(x,y) and v = c(x,y)

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