Home
Class 12
MATHS
Let alpha = (lambda-2) a ne b and beta =...

Let `alpha = (lambda-2) a ne b` and `beta =(4lambda -2)a + 3b` be two given vectors where vectors a and b are non-collinear. The value of `lambda` for which vectors `alpha` and `beta` are collinear, is.

Text Solution

Verified by Experts

The correct Answer is:
4

`vecbeta=k vec alpha`
`therefore (4lambda-2)/(lambda-2)=(3)/(1)`
`4lambda-2=3lambda-6`
`lambda=-4`
Promotional Banner

Topper's Solved these Questions

  • JEE MAIN REVISION TEST-3 (2020)

    VMC MODULES ENGLISH|Exercise MATHEMATICS (SECTION 2)|5 Videos
  • JEE Main Revision Test-20 | JEE-2020

    VMC MODULES ENGLISH|Exercise MATHEMATICS|25 Videos
  • JEE Main Revision Test-6 | JEE-2020

    VMC MODULES ENGLISH|Exercise MATHEMATICS|25 Videos

Similar Questions

Explore conceptually related problems

Let alpha = (lambda-2) a + b and beta =(4lambda -2)a + 3b be two given vectors where vectors a and b are non-collinear. The value of lambda for which vectors alpha and beta are collinear, is.

If a, b and c are non-collinear unit vectors also b, c are non-collinear and 2atimes(btimesc)=b+c , then

Vectors vec a and vec b are non-collinear. Find for what value of n vectors vec c=(n-2) vec a+ vec b and vec d=(2n+1) vec a- vec b are collinear?

If a and b are two non-zero and non-collinear vectors then a+b and a-b are

If vec aa n d vec b are non-collinear vectors, find the value of x for which the vectors vecalpha=(2x+1) vec a- vec b""a n d"" vecbeta=(x-2)"" vec a+ vec b are collinear.

a and b are non-collinear vectors. If c=(x-2) a+b and d=(2x+1)a-b are collinear vectors, then find the value of x.

If vecaandvecb are non-collinear vector, find the value of x such that the vectors vecalpha=(x-2)veca+vecbandvecbeta=(3+2x)veca-2vecb are collinear.

Let a,b and c be three non-zero vectors which are pairwise non-collinear. If a+3b is collinear with c and b+2c is collinear with a, then a+3b+6c is

Find the value of lambda . If the points A(-1,3,2), B(-4,2,-2) and C(5,lambda,10) are collinear.

Let alpha and beta be the values of x obtained form the equation lambda^(2) (x^(2)-x) + 2lambdax +3 =0 and if lambda_(1),lambda_(2) be the two values of lambda for which alpha and beta are connected by the relation alpha/beta + beta/alpha = 4/3 . then find the value of (lambda_(1)^(2))/(lambda_(2)) + (lambda_(2)^(2))/(lambda_(1)) and (lambda_(1)^(2))/lambda_(2)^(2) + (lambda_(2)^(2))/(lambda_(1)^(2))