Point C divides line joining A(1,2,3)m and B(2,4,-6)m in 2 : 1. If the position vector of point C isrc=(xi^+yj^+zk^) m. Find the value of −zyx

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answer is A.

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Detailed Solution

rc=nrA+mrBm+n or rc=1(i^+2j^+3k^)+2(2i^+4j^−6k^)3 =5i^+10j^−9k^3=53i^+103j^−3k^ ∴ x=53,y=103,z=−3 ∴ −zyx=−(−3)(10/3)5/3=6

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