Home
Class 12
MATHS
The vectors lamda hati + hatj + 2 hatk, ...

The vectors `lamda hati + hatj + 2 hatk, hati + lamda hatj - hatk and 2 hati - hatj + lamda hatk` are coplanar if :

A

`lamda =-2`

B

` lamda =2`

C

`lamda =1`

D

`lamda =-1.`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    MODERN PUBLICATION|Exercise Multiple Choice Question (Level-II)|38 Videos
  • VECTOR ALGEBRA

    MODERN PUBLICATION|Exercise LATEST QUESTIONS FROM AIEEE/JEE EXAMINATIONS|16 Videos
  • UNIT TEST PAPER NO.3

    MODERN PUBLICATION|Exercise ASSERTION-REASON & COLUMN MATCHING TYPE QUESTIONS (SECTION-B COLUMN MATCHING TYPE QUESTIONS)|4 Videos

Similar Questions

Explore conceptually related problems

The number of distinct real values of lamda, for which the vectors : -lamda ^(2) hati+hatj+ hatk, hati - lamda ^(2) hatj+ hatk and hati + hatj- lamda ^(2) hatk are coplanar, is :

The vectors hati + 2 hatj + 3 hatk, lamda hati+ 4 hatj + 7 hatk,-3 hati - 2 hatj - 5 hatk are collinear if lamda is :

The vector veca = hati + hatj + (m + 1) hatk , vecb = hati + hatj + m hatk.vecc = hati - hatj + m hatk are coplanar for :

Value of a for which 2 hati - hatj+1hatk , hati + 2 hatj - 3 hatk and 3 hati + a hatj + 5 hatk are coplanar is :

The three vectors 7 hati - 11 hatj + hatk, 5 hati + 3 hatj - 2 hatk, 12 hati - 8 hatj- hatk from :

If the vectors p hati + hatj+ hatk, hati i+ q hatj + hatk and hati + hatj + r hatk ( p ne q ne r ne 1) are coplanar, then the value of pqr- (p + q + r) is :

The value of 'lamda' which the vectors : 3 hati - 6 hatj + hatk and 2 hati - 4 hatj + lamda hatk are parallel is :

The vectors 2 hati - ahtj + hatk, hati -3 hatj - 5 hatj and sqrt3 hati - 4 hatj - 4 hatk are the sides of a triange, which is :

Show that the four points with position vectors 4 hati +8 hatj + 12 hatk, 2 hati + 4 hatj + 6 hatk , 3 hati + 5 hatj+ 4 hatk and 5 hati + 8 hatj + 5 hatk are coplahar .