Home
Class 11
MATHS
OABC is a tetrahedron having position ve...

OABC is a tetrahedron having position vectors of A, B, C respectively `bara,barb,barc` has volume `V_(1),G_(1),G_(2),G_(3)` are centroids of `DeltaOAB,DeltaOBC,DeltaOCA` respectively. If the parallelopiped having `bar(CG)_(1),bar(AG_(2)),bar(BG_(3))` as coterminus edges has volume `V_(2)`, find the value of `(V_(1))/(V_(2))`

Promotional Banner

Topper's Solved these Questions

  • MULTIPLE PRODUCT OF VECTORS

    AAKASH SERIES|Exercise EXERCISE - 4.1 (VERY SHORT ANSWER QUESTIONS)|14 Videos
  • MULTIPLE PRODUCT OF VECTORS

    AAKASH SERIES|Exercise EXERCISE - 4.1 (SHORT ANSWER QUESTIONS)|25 Videos
  • MULTIPLE PRODUCT OF VECTORS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|62 Videos
  • MULTIPLE & SUBMULTIPLE ANGLES

    AAKASH SERIES|Exercise PRACTICE EXERCISE|68 Videos
  • PAIR OF STRAIGHT LINES

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|15 Videos

Similar Questions

Explore conceptually related problems

If bara,barb are two vectors of length 2, 1 respectively and abs(bara-barb) = sqrt3, " then " (bara,barb) =

If the position vectors of A, B, C, D respectively are 2bar(i)+4bar(k), 5bar(i)+3sqrt(3)j+4bar(k), -2sqrt(3)bar(j)+bar(k) and 2bar(i)+bar(k) respectively, then prove that bar(CD) is parallel to bar(AB) and bar(CD)=2/3bar(AB) .

The volume of Parallelopiped with edges bara+barb,barb+barc,barc+bara is V_(1) and with edgs bara barb barc is V_(2) then V_(1)//V_(2) =

Find the volume of the parallelopiped having coterminus edges 2bari-3barj,bari+barj-bark,3bari-bark

Find the position vector of the midpoint of the line segment joining 3bar(a)+2bar(b)-c, bar(a)-4bar(b)+5bar(c) .

Let G_(1),G_(2),G_(3) be the centroids of the triangular faces OBC, OCA, OAB of a tetrahedron OABC. If V_(1) denotes the volume of the tetrahedron OABC and V_(2) denotes the volume of the paralellopiped with OG_(1),OG_(2)OG_(3) as three concurrent edges then