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

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

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)

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

#### Access free resources including

• 100% free video lectures with detailed notes and examples
• Previous Year Papers
• Mock Tests
• Practices question categorized in topics and 4 levels with detailed solutions
• Syllabus & Pattern Analysis