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

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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}}`

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

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