Home
Class 12
MATHS
For non-zero vectors vec a , vec b ,a n...

For non-zero vectors ` vec a , vec b ,a n d vec c ,|( vec axx vec b)dot vec c|=| vec a|| vec b|| vec c|` holds if and only if a.` vec a* vec b=0, vec b* vec c=0` b. ` vec b* vec c=0, vec c* vec a=0` c. ` vec c* vec a=0, vec a* vec b=0` d. ` vec a* vec b=0, vec b* vec c=0, vec c* vec a=0`

Text Solution

AI Generated Solution

Doubtnut Promotions Banner Mobile Dark
|

Similar Questions

Explore conceptually related problems

[vec a + vec b, vec b + vec c, vec c + vec a] = 2 [vec a, vec b, vec c]

If vectors vec a , vec b ,a n d vec c are coplanar, show that | vec a vec b vec c vec adot vec a vec adot vec b vec adot vec c vec bdot vec a vec bdot vec b vec bdot vec c|=odot

If vec adot vec b= vec adot vec c\ a n d\ vec axx vec b= vec axx vec c ,\ vec a!=0, then vec b= vec c b. vec b=0 c. vec b+ vec c=0 d. none of these

Non-zero vectors vec a, vec b and vec c satisfy vec a * vec b = 0, (vec b-vec a) (vec b + vec c) = 0 and 2 | vec b + vec c | = | vec b -vec a | If vec a = muvec b + 4vec c then possible value of mu are

If vec a, vec b, vec c are unit vectors such that vec a + vec b + vec c = vec 0 find the value of vec a * vec b + vec b * vec c + vec c * vec avec a * vec b + vec b * vec c + vec c * vec a

If vec a, vec b and vec c are non coplaner vectors such that vec b xxvec c = vec a, vec c xxvec a = vec b and vec a xxvec b = vec c then | vec a + vec b + vec c | =

If |veca| = 1, |vec b| = 2, |vec c| = 3 and vec a +vec b +vec c = 0 , then the value of vec a * vec b +vec b. vec c +vec c* vec a equals

(vec a xxvec b)xxvec c=vec a xx(vec b xxvec c), Where vec a,vec b and vec c and any three vectors such that vec a*vec b=0,vec b*vec c=0 then vec a and vec c are

If vec a is a non-zero vector and vec a * vec b = vec a * vec c, vec a xxvec b = vec a xxvec c, then

If vec a + vec b + vec c = 0, prove that (vec a xx vec b) = (vec b xx vec c) = (vec c xx vec a)

Home
Profile