Let `vec(a) , vec(b)` and `vec(c)` be three non-zero and non-coplanar vectors and `vec(p) ,vec(q)` and `vec(r)

Ask a Question


Question Asked by a Student from EXXAMM.com Team


Q 2221412321.     Let `vec(a) , vec(b)` and `vec(c)` be three non-zero and non-coplanar vectors

and `vec(p) ,vec(q)` and `vec(r)` be three vectors given by

`vec(p) = vec(a) + vec(b) -2 vec(c) , vec(q) = 3 vec(a) - 2vec(b) + vec(c)` and

`vec(r) = vec(a) -4 vec(b) +2vec(c)`

the volume of the parallelopiped determined by `vec(a) ,vec(b)`

and `vec(c)` is `V_1` and that of the parallelopiped determined by

`vec(p) , vec(q)` and `vec(r)` is `V_2` then `V_2 : V_1` is equal to
A

`3:1`

B

`7 : 1`

C

`11 :1`

D

`15 :1`

HINT


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

Find instant solution to any question from our database of 1.5 Lakh + Questions

 


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

Engineering


Medical


Banking


DEFENCE


SSC


RRB


CBSE-NCERT


OLYMPIAD