6_Cross - -bc . To find the cross product of two vectors a...

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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 s in θ , 0 ≤θ ≤π For what angle is a × b a maximum? For what angle is a × b a minimum? a × b = 0 Also. r a × r b =- r b × r a ( 29 . The two vectors have the same
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length but go in opposite directions. i × j = v × v = k × j =
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Recall det ab c d = ad
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Unformatted text preview: -bc . 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 , , 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 = , 5 , 2 a. Find a b . b. Find the area of the triangle where two sides are a and b ....
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This note was uploaded on 04/12/2008 for the course MATH 1224 taught by Professor Dontremember during the Fall '08 term at Virginia Tech.

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6_Cross - -bc . To find the cross product of two vectors a...

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