Recent content by crayzwalz

  1. C

    Proving perpendicular vectors using Dot Product

    Homework Statement Homework Equations dot product a.b = lal.lblcostheta vectors are perpendicular when a.b = 0 The Attempt at a Solution OA . LA = 0 OA = OM + MA LA = LO + OA OA . LA = (OM+MA) . (LO + OA) = OM.LO + OM.OA + MA.LO + MA.OAi get stuck here
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    Vectors (prove a quadrilateral is a parallelogram)

    can anyone verify if this is correct or not pls
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    Proving triangles with vector methods

    Homework Statement In the following diagram D and E are the midpoints of AB and AC. Use vector methods to prove that DE = 1/2BC Homework Equations DE = 1/2 BC The Attempt at a Solution AD = 1/2AB AE = 1/2AC AD + DE = AE DE = -AE + AD DE = -1/2AC + 1/2AD IF BC = -AC + AB AND DE = -1/2AC +...
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    Proving Collinearity and Segment Division in Vector Multiplication

    so i googled it and their parallel, go head to tail and multiples of each other?
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    Proving Collinearity and Segment Division in Vector Multiplication

    There was no figure given. and vectors AB = 2/3AC?
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    Vectors (prove a quadrilateral is a parallelogram)

    Homework Statement The diagonals of quadrilateral ABCD bisect each other. Use vectors to prove that ABCD is a parallelogram. The Attempt at a Solution let O = point of intersection AO = AD + DO DO = 1/2DB AO = AD + 1/2 DB AO = AB + BO BO = -1/2DB AO = AB - 1/2DB 2AO = AD...
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    Proving Collinearity and Segment Division in Vector Multiplication

    Homework Statement If OA = 1/3OB + 2/3OC, then prove that A, B, and C are collinear and that A divides the segment BC in the ratio 2:1. Homework Equations OA = 1/3 OB + 2/3OC A divides segment BC into 2/3s The Attempt at a Solution I don't know where to start on this...
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