The direction cosines of a vector are in the ratio

MATHEMATICS · Single correct · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

The direction cosines of a vector are in the ratio 3:4:123:4:12, and its magnitude is 1515. Which of the following gives its components (vx,vy,vz)(v_x, v_y, v_z) ? (a) (4519,  6019,  18019)\left(\dfrac{45}{19},\;\dfrac{60}{19},\;\dfrac{180}{19}\right) (b) (45,  60,  180)(45,\;60,\;180) (c) (4513,  6013,  18013)\left(\dfrac{45}{13},\;\dfrac{60}{13},\;\dfrac{180}{13}\right) (d) (313,  413,  1213)\left(\dfrac{3}{13},\;\dfrac{4}{13},\;\dfrac{12}{13}\right)

Related theory

Browse the problem library