The vectors hati+2hatj+3hatk,lamdahati+4...

The vectors `hati+2hatj+3hatk,lamdahati+4hatj+7hatk,-3hati-2hatj-5hatk` are collinear, of `lamda` is equal to

A

3

B

4

C

5

D

6

Verified by Experts

The correct Answer is:

A

`|(1,2,3),(lamda,4,7),(-3,-2,-5)|=0`
`implies lamda =3`.

Similar Questions

Explore conceptually related problems

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

If the vectors 4hati+11hatj+mhatk,7hati+2hatj+6hatk and hati+5hatj+4hatk are coplanar, then m is equal to

If the vectors 2hati-hatj+hatk,hati+2hatj-3hatk and 3hati+ahatj+5hatk are coplanar, the prove that a=-4.

Show that the vectors hati-3hatj+2hatk,2hati-4hatj-hatk and 3hati+2hatj-hatk and linearly independent.

Show that the vectors 2hati-3hatj+4hatk and -4hati+6hatj-8hatk are collinear.

Show that the vectors 2hati-3hatj+4hatkand-4hati+6hatj-8hatk are collinear.

If the vectors 6hati-2hatj+3hatk,2hati+3hatj-6hatk and 3hati+6hatj-2hatk form a triangle, then it is

If the vectors hati-hatj+hatk,3hati+hatj+2hatk and hati+lambda hatj-3hatk are coplanar then find the value of lambda .

Vectors 5hati+yhatj+hatk,2hati+2hatj-2hatk and -hati+2hatj+2hatk are coplaner then find the value of y.