A vector vec{r} has length 35 sqrt{2} and direction ratios (3 , 4 , 5 ), Find the direction consines and componen

### Question Asked by a Student from EXXAMM.com Team

Q 1431556422.     A vector vec{r} has length 35 sqrt{2} and direction ratios (3 , 4 , 5 ), Find the direction consines and components of vec{r}.
A

vec r = 7(3 vec i + 4 vec j + 5 vec k)

B

vec r = 7(3 vec i + 5 vec j + 5 vec k)

C

vec r = 7(2 vec i + 2 vec j + 5 vec k)

D

vec r = 7(3 vec i + 3 vec j + 3 vec k)

#### HINT

The d.c.s of a vector with d.r.s (a,b,c) are frac{a}{ sqrt{a^2+b^2+c^2}}, frac{b}{ sqrt{a^2+b^2+c^2}}, frac{c}{ sqrt{a^2+b^2+c^2}}

(Provided By a Student and Checked/Corrected by EXXAMM.com Team)

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