Chapter 6 Flashcards by Lauren Bryan

Q

Law of Sines

A

SinA/a = SinB/b = SinC/c

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Q

Law of Cosines

A

a² = b² + c² - 2bcCosA

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Q

ALT Law of Cosines

A

CosA = b² + c² - a² / 2bc

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Q

When drawing out a triangle

A

Think about it phsyically

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Q

Inner angles add up to

A

180°

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Q

Component Form

A

Terminal Minus Initial (TMI)
⟨x₂-x₁, y₂ - y₁⟩

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Q

Linear Combination Form

A

xi +- yj

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Q

Magnitude

A

√x² + y²

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Q

Unit Vector

A

⟨x/||x||, y/||y||⟩
or ⟨x/mag, y/mag⟩

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Q

Vector Operations

A

u + v = ⟨u_x + v_x, u_y + v_y⟩

#u = ⟨#u_x, #u_y⟩

-v = ⟨-v_x, -v_y⟩

u - v = ⟨u_x - v_x, u_y - v_y⟩

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Q

Dot Product

A

u·v = u_x · v_x + u_y · v_y

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Q

Angle Between

A

cosθ = u·v/(||u||)·(||v||)
or
cosθ = u·v/(u magn)·(v magn)

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Q

If angle between (cosθ) = 0

A

θ = 90°
vectors u and v are orthogonal (perpendicular)

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Q

Bearing D₁ #° D₁

A

° From direction 1 to direction 2

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Q

Area

A

1/2abSinC

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