A vector has magnitude units and its direction cosines are

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

Problem

A vector has magnitude 55 units and its direction cosines are l=35,  m=45l=\dfrac{3}{5},\; m=\dfrac{4}{5}. If its zz-component is non-negative, the vector is (a) 3i^+4j^+5k^3\hat{i}+4\hat{j}+5\hat{k} (b) 3i^+4j^+5 k^3\hat{i}+4\hat{j}+\sqrt{5}\,\hat{k} (c) 3i^+4j^+0k^3\hat{i}+4\hat{j}+0\hat{k} (d) 5i^+4j^+3k^5\hat{i}+4\hat{j}+3\hat{k}

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