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How do you solve for a triangle by the Law of Sines?
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A/Sin A = b/Sin B = c/Sin C
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Area of a triangle by Sine.
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A= (1/2)abSin C (or acSin C or bcSin A)
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How do you know if there are 2 triangles?
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H = bSin A and h
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Solve for triangle by Law of Cosines?
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A^2 = b^2 + c^2 - 2bcCos A (Or switch letters to correspond)
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Area of triangle by Cosine.
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A= sq/s(s-a)(s-b)(s-c)
S= (a+b+c)/2
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Find the magnitude
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Sq/(q1-p1)^2 + (q2-p2)^2 (aka distance formula)
OR
sq/(v1^2 + v2^2)
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Component form?
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or
(p-initial point;q-terminal point)
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Unit Vector
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V/||v|| or (1/||v||)v
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Standard Unit Vector
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I = j =
v1i + v2j (Linear)
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Direction Angles
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U = = (cos x)i + (sin x)j
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Dot Product
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and
u1v1 + u2v2
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Angle between two vectors
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Cos X = [u(dot)v]/||u||||v||
or
u(dot)v = ||u||||v||Cos X
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How do you tell if a vector is orthogonal, parallel, or neither?
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Orthogonal - Dot product is 0
Parallel - Same "slope"
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Projection of U onto V
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Proj(v)u = {[u(dot)v]/||v||^2}v
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Trigonometric form of complex numbers
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Z = r(Cos X + iSin X)
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