Home
Class 12
MATHS
If A ,B ,C ,D are four distinct point i...

If `A ,B ,C ,D` are four distinct point in space such that `A B` is not perpendicular to `C D` and satisfies ` vec A Bdot vec C D=k(| vec A D|^2+| vec B C|^2-| vec A C|^2-| vec B D|^2),` then find the value of `kdot`

Promotional Banner

Similar Questions

Explore conceptually related problems

A B C D isa parallelogram with A C a n d B D as diagonals. Then, vec A C- vec B D= 4 vec A B b. 3 vec A B c. 2 vec A B d. vec A B

The vector component of vec b perpendicular to vec a is ( vec bdot vec c) vec a b. ( vec axx( vec bxx vec a))/(| vec a|^2) c. vec axx( vec bxx vec a) d. none of these

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

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 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

A,B,C and D are four points in a plane with position vectors vec a,vec b,vec c and vec d, respectively,such that (vec a-vec d)*(vec b-vec c)=(vec b-vec d)*(vec c-vec a)=0 Then point D is the of triangle ABC

if vec a,vec b and vec c are there mutually perpendicular unit vectors and vec a ia a unit vector make equal angles which vec a,vec b and vec c then find the value of |vec a+vec b+vec c+vec d|^(2)

A B C D E is pentagon, prove that vec A B + vec B C + vec C D + vec D E+ vec E A = vec0 vec A B+ vec A E+ vec B C+ vec D C+ vec E D+ vec A C=3 vec A C

If vec a,vec b, and vec c are there mutually perpendicular unit vectors and vec d is a unit vector which makes equal angles with vec a,vec b, and vec c, the find the value off |vec a+vec b+vec c+vec d|^(2)

If vec a xxvec b and vec c xxvec d are perpendicular satisfying vec a * vec c = lambda, vec b * vec d = lambda, (lambda> .0), vec a * vec d = 4, vec b * vec c = 9 then lambda equal to: -