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7_Cross_(notes)

# 7_Cross_(notes) - To find the cross product of two vectors...

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Cross Product The cross product of two vectors a and b , a × b , is defined to be the vector orthogonal (perpendicular) to both a and b . The direction of the vector is determined by the right hand rule. Note: a × b is a vector! We also define a × b a b sin θ , 0 θ For what angle is a × b a maximum? For what angle is a × b a minimum? a × b 0

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Also. r a × r b - r b × r a ) . The two vectors have the same length but go in opposite directions. i × j v × v k × j
Recall det a b c d ad

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Unformatted text preview: . To find the cross product of two vectors a and b use a 3 X 3 matrix. i j k a 1 a 2 a 3 b 1 b 2 b 3 ex. Let a 1, 2, 3 b-6, 0, 5 . Find b × a . Area of a parallelogram = ex. Find the area of the parallelogram whose vertices are A(-6,0), B(1, -4), C(3,1), D(-4,5) Do: Let r a 1, 1, -1 r b 0, 5, 2 a. Find a × b . b. Find the area of the triangle where two sides are a and b ....
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7_Cross_(notes) - To find the cross product of two vectors...

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