Volume of parallelopiped formed by vecto...

Volume of parallelopiped formed by vectors `vecaxxvecb, vecbxxvecc and veccxxveca` is `36` sq.units, then the volume of the parallelopiped formed by the vectors `veca,vecb` and `vecc` is.

Text Solution

Verified by Experts

The correct Answer is:

`(6)`

Topper's Solved these Questions

PRODUCT OF VECTORS
ARIHANT MATHS|Exercise Exercise (Subjective Type Questions)|18 Videos
PRODUCT OF VECTORS
ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|52 Videos
PRODUCT OF VECTORS
ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|21 Videos
PROBABILITY
ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|55 Videos
PROPERTIES AND SOLUTION OF TRIANGLES
ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos

Similar Questions

Explore conceptually related problems

If the volume of the parallelepiped formed by the vectors veca xx vecb, vecb xx vecc and vecc xx veca is 36 cubic units, then the volume (in cubic units) of the tetrahedron formed by the vectors veca+vecb, vecb+vecc and vecc + veca is equal to

If the volume of the parallelopiped formed by the vectors veca, vecb, vecc as three coterminous edges is 27 units, then the volume of the parallelopiped having vec(alpha)=veca+2vecb-vecc, vec(beta)=veca-vecb and vec(gamma)=veca-vecb-vecc as three coterminous edges, is

The three concurrent edges of a parallelopiped represent the vectors veca, vecb, vecc such that [(veca, vecb, vecc)]=V . Then the volume of the parallelopiped whose three concurrent edges are the three diagonals of three faces of the given parallelopiped is

If veca, vecb, vecc are three vectors, then [(vecaxxvecb, vecbxxvecc, veccxxveca)]=

Statement 1: If V is the volume of a parallelopiped having three coterminous edges as veca, vecb , and vecc , then the volume of the parallelopiped having three coterminous edges as vec(alpha)=(veca.veca)veca+(veca.vecb)vecb+(veca.vecc)vecc vec(beta)=(veca.vecb)veca+(vecb.vecb)vecb+(vecb.vecc)vecc vec(gamma)=(veca.vecc)veca+(vecb.vecc)vecb+(vecc.vecc)vecc is V^(3) Statement 2: For any three vectors veca, vecb, vecc |(veca.veca, veca.vecb, veca.vecc),(vecb.veca,vecb.vecb,vecb.vecc),(vecc.veca,vecc.vecb,vecc.vecc)|=[(veca,vecb, vecc)]^(3)

Express veca,vecb,vecc in terms of vecbxxvecc, veccxxveca and vecaxxvecb .

If V is the volume of the parallelopiped having three coterminous edges as veca,vecb and vecc , then the volume of the parallelopiped having three coterminous edges as vec(alpha)=(veca.veca)veca+(veca.vecb)vecb+(veca.vecc)vecc vec(beta)=(veca.vecb)veca+(vecb.vecb)vecb+(vecb.vecc)vecc vec(gamma)=(veca.vecc)veca+(vecb.vecc)vecb+(vecc.vecc)vecc is

Let veca, vecb, vecc be three non-zero non coplanar vectors and vecp, vecq and vecr be three vectors given by vecp=veca+vecb-2vecc, vecq=3veca-2vecb+vecc and vecr=veca-4vcb+2vecc If the volume of the parallelopiped determined by veca, vecb and vecc is V_(1) and that of the parallelopiped determined by veca, vecq and vecr is V_(2) , then V_(2):V_(1)=

Let veca, vecb, vecc be three unit vectors such that veca. vecb=veca.vecc=0 , If the angle between vecb and vecc is (pi)/3 then the volume of the parallelopiped whose three coterminous edges are veca, vecb, vecc is

ARIHANT MATHS-PRODUCT OF VECTORS-Exercise (Single Integer Answer Type Questions)

Let hat(u), hat(v) and hat(w) are three unit vectors, the angle betwee...
Text Solution
|
If a, b and c are three vectors such that [a b c]=1, then find the val...
Text Solution
|
If hat(a), hat(b) and hat(c) are the three unit vector and alpha, bet...
Text Solution
|
The three vectors hat i+hat j,hat j+hat k, hat k+hat i taken two at a ...
Text Solution
|
Let hatc be a unit vector coplanar with a=hat(i)-hat(j)+2hat(k) and b...
Text Solution
|
Let a, b and c are three vectors hacing magnitude 1, 2 and 3 respectiv...
Text Solution
|
Let A(2hat(i)+3hat(j)+5hat(k)), B(-hat(i)+3hat(j)+2hat(k)) and C(lambd...
Text Solution
|
If V is the volume of the parallelopiped having three coterminus edges...
Text Solution
|
If veca,vecb are vectors perpendicular to each other and |veca|=2, |ve...
Text Solution
|
M and N are mid-point of the diagnols AC and BD respectivley of quadri...
Text Solution
|
If atimesb=c, btimesc=a, ctimesa=b. If vectors a, b and c are forming ...
Text Solution
|
Let veca and vecc be unit vectors inclined at pi//3 with each other. I...
Text Solution
|
Volume of parallelopiped formed by vectors vecaxxvecb, vecbxxvecc and ...
Text Solution
|
If alpha and beta are two perpendicular unit vectors such that x=hat(b...
Text Solution
|
The volume of the tetrahedron whose vertices are the points with posit...
Text Solution
|
The volume of a tetrahedron formed by the coterminous edges vec a ...
Text Solution
|