The volume of the parallelopiped whose e...

The volume of the parallelopiped whose edges are represented by `-12i+lambdaj,3j-k,2i+j-15k` is 546, then `lambda` is

`3`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

ADDITION AND MULTIPLICATION OF VECTORS
ML KHANNA|Exercise Problem Set (3) (TRUE AND FALSE) |3 Videos
ADDITION AND MULTIPLICATION OF VECTORS
ML KHANNA|Exercise Problem Set (3) (FILL IN THE BLANKS) |8 Videos
ADDITION AND MULTIPLICATION OF VECTORS
ML KHANNA|Exercise Problem Set (2) (FILL IN THE BLANKS) |23 Videos
AREA OF CURVES
ML KHANNA|Exercise SELF ASSESSEMENT TEST|16 Videos

Similar Questions

Explore conceptually related problems

The volume of a parallelopiped whose edges are represented by -12bar i+lambda bar k, 3bar j-bar k and 2bar i +bar j-15bar k is 546 then lambda=____

The volume of a parallelopiped whose edges are represented by -12bar(i)+lambdabar(k) , 3bar(j)-bar(k) and 2bar(i)+bar(j)-15bar(k) is 546 then lambda=

The volume of a parallelopiped whose edges are (-12hati+lambdahatk),(3hatj-hatk) and (2hati+hatj-15hatk) is 546 cubic units. Find the value of lambda

If the volume of a parallelopiped whose three coterminal edges are represented by vectors, then lambda =________.

The volumes of the parallelopiped whose edges are represented by bara=2overset(^)i-3overset(^)j+overset(^)k,barb=overset(^)i-overset(^)j+2overset(^)k,barc=2overset(^)i+overset(^)j-overset(^)k is

Find the volume of the parallelopiped whose edges are represented by veca=vec(2i)-vec(3j)+vec4k, vecb=veci+vec(2j)-veck and vecc=vec(3i)-vecj+vec(2k)

Find the volume of the parallelepiped whose coterminous edges are represented by the vectors: vec a=2 hat i+3 hat j+4 hat k , vec b= hat i+2 hat j- hat k , vec c=3 hat i- hat j+2 hat k vec a=2 hat i+3 hat j+4 hat k , vec b= hat i+2 hat j- hat k , vec c=3 hat i- hat j-2 hat k vec a=11 hat i , vec b=2 hat j- hat k , vec c=13 hat k vec a= hat i+ hat j+ hat k , vec b= hat i- hat j+ hat k , vec c= hat i+2 hat j- hat k

Find the volume of the parallelopiped whose thre coterminus edges asre represented by vec(2i)+vec(3j)+veck, veci-vecj+veck, vec(2i)+vecj-veck .

ML KHANNA-ADDITION AND MULTIPLICATION OF VECTORS -Problem Set (3) (MULTIPLE CHOICE QUESTIONS)

The volume of the parallelopiped whose edges are represented by -12i+l...
Text Solution
|
The volume of a parallelopiped whose sides are given by vecOA =2i-3j,v...
Text Solution
|
Let a, b and c be three non-zero and non-coplanar vectors and p, q and...
Text Solution
|
[a xx(3b + 2c), b xx (c-2a), 2c xx (a-3b)] =
Text Solution
|
If a, b, c are three non-coplanar vectors such that volume of parallel...
Text Solution
|
The edges of a parallelopiped are of unit length and a parallel to non...
Text Solution
|
The volume of the tetrahedron whose vertices are points A(1,-1,10), B ...
Text Solution
|
Let vec a= vec i- vec k , vec b=x vec i+ vec j+(1-x) vec k and vec c...
Text Solution
|
The value of a so that the volume of parallelopiped formed by vectors ...
Text Solution
|
Let vecb=-veci+4vecj+6veck, vecc=2veci-7vecj-10veck. If veca be a unit...
Text Solution
|
Let a =3i+2k and b=2j+k. If c is a unit vector, then the maximum value...
Text Solution
|
Let veca,vecb and vecc be three vectors. Then scalar triple product [v...
Text Solution
|
For three vectors vecu,vecv,vecw which of the following expressions is...
Text Solution
|
If veca, vecb, vecc are non-coplanar vectors, then (veca.(vecbxxvecc))...
Text Solution
|
If vecd = gamma(veca xx vecb) + mu(vecb xx vecc) + v(vecc xx veca) and...
Text Solution
|
If a, b, c are non-coplanar vectors and r is a unit vector, then |(r....
Text Solution
|
Let veca=a(1)hati+a(2)hatj+a(3)hatk,vecb=b(2)hatj+b(3)hatk and vecc=c(...
Text Solution
|
The scalar vec Adot( vec B+ vec C)xx( vec A+ vec B+ vec C) equals 0 b...
Text Solution
|
If [(3a + 5b) (c) (d)] = p [acd] + q[bcd], them p + q=
Text Solution
|
(a + 2b-c).[(a-b) xx (a-b-c)] is equal to
Text Solution
|