Home
Class 12
MATHS
For what values of lamda are the vectors...

For what values of `lamda` are the vectors `lamdahati+2hatj+hatk,3hati+2hatj,lamda i+j` are coplanar.

Text Solution

AI Generated Solution

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

For what value of lamda are the vectors veca=2hati+lamda hatj+hatk and vecb=hati-2hatj+3hatk perpendicular to each other ?

Find the value of lamda so that the two vectors 2hati+3hatj-hatk and -4hati-6hatj+lamda hatk are parallel

Knowledge Check

  • The value of lamda for which the vectors 3hati-6hatj+hatkand2hati-4hatj+lamdahatk parallel, is

    A
    `(2)/(3)`
    B
    `(3)/(2)`
    C
    `(5)/(2)`
    D
    `(2)/(5)`

  • The number of real values of a for which the vectors hati+2hatj+hatk, ahati+hatj+2hatk and hati+2hatj+ahatk are coplanar is

    A
    1
    B
    2
    C
    3
    D
    0

  • The number of distinct 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

    A
    0
    B
    1
    C
    2
    D
    3

    • Similar Questions

    Explore conceptually related problems

    Show that the vectors hati-hatj-hatk,2hati+3hatj+hatk and 7hati+3hatj-4hatk are coplanar.

    The number of distinct real values of lamda for which the vectors -lamda^2hati+hatj+hatk, hati-lamda^2hatj+hatk and hati+hatj-lamda^2 hatk are coplanar is (A) zero (B) one (C) two (D) three

    Find the value of lamda so that the two vectors 2hati+3hatj-hatk and -4hati-6hatj+lamda hatk are Perpendicular to each other

    Find lambda if the vectors hati+hatj+2hatk, lambdahati-hatj+hatk and 3hati-2hatj-hatk are coplanar.

    The are three vectors a = hati+hatj, b = hatj+hatk and hatc = x hata + y hatb . If the vectors hati-2hatj+hatk,3hati+2hatj-hatk and c are coplanar, then x/y is equal to

    Home
    Profile