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VECTORS EXAM QUESTIONS. 2 a. 2 b. Prove parallel. 1. OA = a OB = b AC = 2 a OD = 3 b Prove that AB is parallel to CD. (VECTORS, PROOF). 2. FX : XM = 4 : 1. CE = a + b FE = ( a – b ) + a + b = 2 a FM = ( a – b ) + a + ½ b = 2 a - ½ b
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VECTORS EXAM QUESTIONS
2a 2b Prove parallel 1. OA = a OB = b AC = 2a OD = 3b Prove that AB is parallel to CD. (VECTORS, PROOF)
2. FX : XM = 4 : 1 CE = a + b FE = (a – b) + a + b = 2a FM = (a – b) + a + ½b = 2a - ½b CX= -(a – b) + ⅘(2a - ½b) = ⅗a + ⅗b CX = ⅗CE therefore CXE is straight line. CE = ?, FE = ?, FM = ? PROVE CXE is straight line (VECTORS, PROOF) CDEF is a quadrilateral with CD = a, DE = b and FC = a - b. (a) Express CE ,FE and FM in terms of a and b. X is the point on such that FX : XM = 4 : 1. (b) Prove that C, X and E lie on the same straight line.