Find the direction cosines of the vector `hat i + 2 hat j + 3 hat k` .

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Q 1421634521.     Find the direction cosines of the vector `hat i + 2 hat j + 3 hat k` .
A

`( frac{-1}{ sqrt{14}}, frac{2}{ sqrt{14}}, frac{3}{ sqrt{14}}) `

B

`( frac{1}{ sqrt{14}}, frac{2}{ sqrt{14}}, frac{3}{ sqrt{14}} )`

C

`( frac{1}{ sqrt{14}}, frac{-2}{ sqrt{14}}, frac{3}{ sqrt{14}} )`

D

`( frac{1}{ sqrt{14}}, frac{2}{ sqrt{14}}, frac{-3}{ sqrt{14}} )`

HINT

Direction cosine (D.C) of vector `x hat i + y hat j + z hat k` is `frac{x}{ sqrt{x^2+y^2+z^2}}, frac{y}{ sqrt{x^2+y^2+z^2}}, frac{z}{ sqrt{x^2+y^2+z^2}}`

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

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