Home
Class 12
MATHS
For any four points A,B,C,D |vec (AB) xx...

For any four points A,B,C,D `|vec (AB) xx vec (CD)-vec (BC) xx vec (AD)+vec (CA) xx vec (BD)|` is equal to 4 times the area of triangle- (1) ABC (2) BCD (3) ACD (4) ABD

Promotional Banner

Similar Questions

Explore conceptually related problems

(vec b xx vec c) xx (vec c xx vec a ) =

If A, B, C and D by any four points in space, prove that |vec(AB)xx vec(CD)+vec(BC)xx vec(AD)+vec(CA)xx vec(BD)|=4 (Area of triangle ABC)

If A,B,C and D are any four points in space prove that |quad vec (AB) xx vec (CD)+ vec (BC) xx vec (AD) + vec (CA) xx vec (BD)|=4(area of Delta ABC) .

If A ,B ,C ,D be any four points in space, prove that | vec A Bxx vec C D+ vec B Cxx vec A D+ vec C Axx vec B D|=4 (Area of triangle ABC)

vec(A) xx vec(B) not equal to vec(B) xx vec(A) . Why?

If vec(a) xx vec(b)= vec(c ) xx vec(d), vec(a) xx vec(c )= vec(b) xx vec(d) , then

(vec(d) + vec(a)).(vec(a) xx (vec(b) xx (vec(c) xx vec(d)))) simplifies to

A,B,C and D are any four points in the space,then prove that |vec AB xxvec CD+vec BC xxvec AD+vec CA xxvec BD|=4 (area of o+ABC.)

If (vec(a), vec(b))= pi , then |4vec(a) xx 5vec(b) + vec(b) xx vec(a)| =