A unit vector has components proportional to

MATHEMATICS · Single correct · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices

Problem

A unit vector has components proportional to 2,−3,42,-3,4. If the vector lies in the region where x>0x>0 and z>0z>0, determine the proportionality constant kk such that its components are (2k,−3k,4k)(2k,-3k,4k). (a) k=−129k=-\dfrac{1}{\sqrt{29}} (b) k=129k=\dfrac{1}{29} (c) k=129k=\dfrac{1}{\sqrt{29}} (d) k=29k=\sqrt{29}

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