Unit 11 Flashcards

1
Q

scalar quantities

A

quantified with a single real number

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2
Q

magnitude

A

√(terminal-origin)^2 + (terminal-origin)^2

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3
Q

unit vector

A

v/||v||

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4
Q

vector v given magnitude and angle

A

< ||v||cosA, ||v||sinA >

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5
Q

dot product

A

u(v) + u(v)

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6
Q

orthogonal or perpendicular must equal

A

0

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7
Q

determine the angle

A

cosA^1 (u(v) / ||u|| times ||v||)

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8
Q

sin(A+B)

A

sinAcosB + cosAsinB

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9
Q

cos(A+B)

A

cosAcosB - sinAsinB

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10
Q

tan(A+B)

A

(tanA + tanB) / 1 - tanAtanB

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11
Q

sin2A

A

2sinAcosA

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12
Q

cos2A

A

cos^2A + sin^2A

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13
Q

tan2A

A

2tanA / 1 - tan^2A

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14
Q

sin(A/2)

A

+-√1-cosA / 2

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15
Q

cos(A/2)

A

+-√1+cosA / 2

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16
Q

tan(A/2)

A

1-cosA / sinA