SOLUTION: Hai sir, Please help me on this problem "If a line has the direction ratios –17, 11, – 4, then what are its direction cosines? a. a)0.7, 0.4, 0.05 b. b)0.6, 0.3, 0.1 c. c)0.

Algebra ->  Trigonometry-basics -> SOLUTION: Hai sir, Please help me on this problem "If a line has the direction ratios –17, 11, – 4, then what are its direction cosines? a. a)0.7, 0.4, 0.05 b. b)0.6, 0.3, 0.1 c. c)0.      Log On


   

Question 397767: Hai sir, Please help me on this problem
"If a line has the direction ratios –17, 11, – 4, then what are its direction cosines?
a. a)0.7, 0.4, 0.05
b. b)0.6, 0.3, 0.1
c. c)0.9, 0.6, 02
d. d)None of these"
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
The position vector <-17, 11, -4> or -17i + 11j - 4k has length sqrt%28%28-17%29%5E2+%2B+11%5E2+%2B+%28-4%29%5E2+%29=+sqrt%28426%29. The direction cosines are then
-17%2F+sqrt%28426%29, 11%2F+sqrt%28426%29, -4%2F+sqrt%28426%29.
Incidentally, the answer is d, none of the choices.