Vectors Flashcards

1
Q

What is the angle between two vectors?

A

Cos∅ = a • b/ |a||b|

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2
Q

What is the formula for components of a vector?

A

r = |r|cosθ i + |r|sinθ j

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3
Q

What is the formula for unit vector?

A

^a = ā / |ā|

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4
Q

What is the dot product of i • i ?

A

1

(It is the same for k • k, j • j)

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5
Q

For a perpendicular or orthogonal vector, what does a • b equal?

A

0, as the angle between them is 90° and cos90° = 0

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6
Q

What is the formula for Vector Triple Product a × (b × c) ?

A

a × (b × c) = (a • c)b - (a • b)c

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