Home
Class 12
MATHS
If vec a , vec b , vec ca n d vec d are...

If ` vec a , vec b , vec ca n d vec d` are four vectors in three-dimensional space with the same initial point and such that `3 vec a-2 vec b+ vec c-2 vec d=0` , show that terminals `A ,B ,Ca n d D` of these vectors are coplanar. Find the point at which `A Ca n dB D` meet. Find the ratio in which `P` divides `A Ca n dB Ddot`

Promotional Banner

Similar Questions

Explore conceptually related problems

If vec a , vec b , vec c and vec d are the position vectors of points A, B, C, D such that no three of them are collinear and vec a + vec c = vec b + vec d , then ABCD is a

The vectors vec a,vec b,vec c,vec d are coplanar then

If vec a,vec b,vec c and vec d are the position vectors of the points A,B,C and D respectively in three dimensionalspace no three of A,B,C,D are collinear and satisfy the relation 3vec a-2vec b+vec c-2vec d=0, then

If vec a,vec b,vec c and vec d are distinct vectors such that vec a xxvec c=vec b xxvec d and vec a xxvec b=vec c xxvec d prove that (vec a-vec d)vec b-vec c!=0

vec a, vec b, vec c, dare any four vectors then (vec a xxvec b) xx (vec c xxvec d) is a vector Perpendicular to vec a, vec b, vec c, vec d

If vec a,vec b,vec c are the position vectors of points A,B,C and D respectively such that (vec a-vec d)*(vec b-vec c)=(vec b-vec d)*(vec c-vec a)=0 then D is the

If vec a,vec b,vec c are three non coplanar vectors such that vec a.vec a*vec a=vec dvec b=vec d*vec c=0 then show that vec d is the null vector.

If vec a, vec b, vec c and vec d are unit vectors such that (vec a xxvec b) * (vec c xxvec d) = 1 and vec a * vec c = (1) / (2)

If vec(b) and vec(c) are the position vectors of the points B and C respectively, then the position vector of the point D such that vec(BD) = 4 vec(BC) is

vec a,vec b,vec c,vec d are the position vectors of the four distinct points A,B,C, D respectively.If vec b-vec a=vec c-vec d, then show that ABCD is a parallelogram.