Mathematics

Mathematics

Problem

Find the unit vector in the direction of 3i−4j+12k3\mathbf{i}-4\mathbf{j}+12\mathbf{k}. a) (3169,−4169,12169)\left(\dfrac{3}{169},-\dfrac{4}{169},\dfrac{12}{169}\right) b) (361,−461,1261)\left(\dfrac{3}{\sqrt{61}},-\dfrac{4}{\sqrt{61}},\dfrac{12}{\sqrt{61}}\right) c) (313,−413,1213)\left(\dfrac{3}{13},-\dfrac{4}{13},\dfrac{12}{13}\right) d) (313,413,1213)\left(\dfrac{3}{13},\dfrac{4}{13},\dfrac{12}{13}\right)

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