Home
Class 12
MATHS
Let vec a , vec b, vec c be three non-z...

Let ` vec a , vec b, vec c` be three non-zero vectors such that any two of them are non-collinear. If ` vec a+2 vec b` is collinear with ` vec ca n d vec b+3 vec c` is collinear with ` vec a` then prove that ` vec a+2 vec b+6 vec c= vec0`

A

`vec(a)`

B

`vec(b)`

C

`vec(0)`

D

`vec(a)+vec(c )`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    MODERN PUBLICATION|Exercise CHAPTER TEST 10|12 Videos

  • VECTOR ALGEBRA

    MODERN PUBLICATION|Exercise Revision Exercise|10 Videos

  • THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise CHAPTER TEST 11|11 Videos

Similar Questions

Explore conceptually related problems

Let vec a,vec b,vec c be three non-zero vectors such that any two of them are non-collinear.If vec a+2vec b is collinear with vec c and vec b+3vec c is collinear with vec a then prove that vec a+2vec b+6vec c=vec 0

If vec a,vec b,vec c are three non- null vectors such that any two of them are non-collinear.If vec a+vec b is collinear with vec c and vec b+vec c is collinear with vec a, then find vec a+vec b+vec c

If vec a ,\ vec b ,\ vec c are three non-zero vectors, no two f thich are collinear and the vector vec a+ vec b is collinear with vec c ,\ vec b+ vec c is collinear with vec a ,\ t h e n\ vec a+ vec b+ vec c= a. vec a b. vec b c. vec c d. none of these

If (3vec a+7vec b) is colinear with vec c & (3vec b+2vec c) is collinear with vec a then 9vec a+21vec b+14vec c=?

Let vec a,vec b and vec c be three non-zero vectors, no two of which are collinear.If the vector 3vec a+7vec b is collinear with vec c and 3vec b+2vec c is collinear with bar(a), then 9vec a+21vec b+14vec c is equal to.

If vec a,vec b and vec c are three non-zero vectors,no two of which ar collinear,vec a+2vec b is collinear with vec c and vec b+3vec c is collinear with vec a then find the value of |vec a+2vec b+6vec c|

vec a,vec b and vec c are three non-zero vectors,no two of which are collinear and the vectors vec a+vec b is collinear with vec b,vec b+vec c is collinear with vec a, then vec a+vec b+vec c=

Let vec a, vec b, vec c be three non-zero vectors such that [vec with bvec c] = | vec a || vec b || vec c | then

vec a,vec b,vec c are three non zero vectors no two of which are collonear and the vectors vec a+vec b be collinear with vec c,vec b+vec c to collinear with vec a then vec a+vec b+vec c the equal to ?(A)vec a (B) vec b(C)vec c (D) None of these

Vectors vec a,quad vec b,quad vec c are such that every pair is non-collinear and the vectors vec a+vec b is collinear with vec c and the vector vec b+vec c is collinear with vec a .Then the value of 4+|vec a+vec b+vec c| is