Home
Class 12
MATHS
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

A

2

B

1

C

`3`

D

0

Text Solution

Verified by Experts

The correct Answer is:
C
Doubtnut Promotions Banner Mobile Dark
|

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=

Knowledge Check

  • 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

    A
    14 cu. Units
    B
    16 cu. Units
    C
    18 cu. Units
    D
    20 cu. Units

    • Similar Questions

    Explore conceptually related problems

    The volume of a parallelopiped whose sides are given by vecOA =2i-3j,vecOB =i+j-k,vecOC =3i-k is

    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 =________.

    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)

    The volume of a parallelopiped whose sides are given by vecOA = 2i-3j, vecOB = i+j-k, vecOC = 3i-k is

    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 .

    Home
    Profile