Find direction consines of the line joinong `(2 , -3 , 1 )` and ` (3 , 1 , -2 )`.

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Q 1481680527.     Find direction consines of the line joinong `(2 , -3 , 1 )` and ` (3 , 1 , -2 )`.
A

D.C.S .` = pm ( frac{1}{ sqrt{26}}, frac{4}{ sqrt{26}}, frac{-3}{ sqrt{26}} )`

B

D.C.S. `= pm ( frac{1}{ sqrt{23}}, frac{4}{ sqrt{23}}, frac{-3}{ sqrt{23}} )`

C

D.C.S. `= pm ( frac{-1}{ sqrt{26}}, frac{4}{ sqrt{26}}, frac{3}{ sqrt{26}} )`

D

D.C.S. `= pm ( frac{1}{ sqrt{23}}, frac{-4}{ sqrt{23}}, frac{-3}{ sqrt{23}} )`

HINT

`vec {AB} = vec {OB} - vec {OA} =(3-2) vec i+(1+3) vec j+(-2-1) vec k` `= vec i+4 vec j-3 vec k` The d.r.s of `vec {AB}` are `(1,4,-3)` and of ` vec {BA} (-1, -4, 3)`

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

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