Vectors drawn form the origin O to the points A , B and C are respectively `veca, b and 4veca -vec(b)` Find `vec(AC) and vec(BC)`

Vectors drawn the origin O to the points A,B and C are respectively vec a,vec b and vec 4a-3vec b. find vec AC and vec BC

If vectors drawn from the origin to the point A,B, and C are respectively veca,vecb and vec4a-vec3b then find vecAC .

The position vectors of two points A and B are 3veca+2vecb and 2veca-vecb respectively. Find the vector vec(AB)

The position vector of the points A, B and C are respectively vec i + vec j, vec j + vec k and lambda vec k + vec i . If the volume of the tetrahedron OABC is 6, find lambda where O is the origin.

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

If vec(a),vec(b),vec(c) are the position vectors of the points A, B, C respectively such that 3vec(a)+5vec(b)=8vec(c) then find the ratio in which C divides AB.

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

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

vec a,vec b and vec c are the position vectors of points A,B and C respectively,prove that: vec a_(vec a)xvec b+vec bxvec c+vec cxvec a is vector perpendicular to the plane of triangle ABC.