Vectors in 2D Flashcards

1
Q

What is i?

A

A vector of length 1 unit in the positive x-direction

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2
Q

What is j?

A

A vector of length 1 unit in the positive y-direction

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3
Q

What is a unit vector?

A

A vector of length 1 unit

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4
Q

How is the magnitude of vector A->B denoted and found?

A

|A->B| and by Pythagoras’ theorem

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5
Q

What is the unit vector in the same direction as a?

A

a/|a|

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6
Q

If A is the point (6,4) and B is the point (1,-7) find A->B?

A

A->B=O->B-O->A
=(i-7j)-(6i+4j)
=-5i-11j

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7
Q

What is the position vector r for an object with initial position a, moving with constant velocity v at time t?

A

r=a+tv

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8
Q

What is column vector notation?

A

(x direction,(/)y direction)

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