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Mathematics
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1) Let a = (a1 a2 a3) and c (c1 c2 c3)= be any vectors in R3, and let k be the usual unit vector. Prove the following identity: a .(k x c) = (a x k) .c 2) Find an equation for the surface consisting of all points P(x; y; z) for which the distance from P to the z-axis is twice the distance from P to the y-axis. Can you identify the surface?
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