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Math · Advanced Math
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The vectors a, b and c are such that bxc 3i and cx a 2j+k, where i, j and k are unit vectors. Express (a+b)x (a+b + 4c) in terms of i, j and k. [PSPM 2006-6M] The points A(-2,1,2), B(5,-7,-3) and C(3,3,1) lie on the plane , The equation of a second plane η) is given as 2x-y-2z-5 (a) Find the vectors AB and AC 13M] [3M] [5M] (b) Determine the Cartesian equation of n (c) Find the acute angle between , and n, giving your answer in degrees
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