If the vectors `veca, vecb and vecc` form the sides, BC , CA and AB, respectively, of triangle ABC, then

If the vectors veca,vecb,vecc form the sides BC,CA and AB respectively of a triangle ABC then (A) veca.(vecbxxvecc)=vec0 (B) vecaxx(vecbxvecc)=vec0 (C) veca.vecb=vecc=vecc=veca.a!=0 (D) vecaxxvecb+vecbxxvecc+veccxxvecavec0

If veca, vecb and vecc are the position vectors of the vertices A,B and C. respectively , of triangleABC . Prove that the perpendicualar distance of the vertex A from the base BC of the triangle ABC is (|vecaxxvecb+vecbxxvecc+veccxxveca|)/(|vecc-vecb|)

D, E and F are the mid-points of the sides BC, CA and AB respectively of triangle ABC. Prove that: area of BDEF is half the area of Delta ABC.

D, E and F are the mid-points of the sides BC, CA and AB respectively of triangle ABC. Prove that: BDEF is a parallelogram.

veca, vecb, vecc are unit vectors such that if the angles between the vectors veca and vecb , vecb and vecc , vecc and veca are respectively pi/6, pi/4 and pi/3 , then find out the angle the vector veca makes with the plane containing vecb and vecc is

If veca,vecb and vecc are three vectors of which every pair is non colinear. If the vector veca+vecb and vecb+vecc are collinear with the vector vecc and veca respectively then which one of the following is correct? (A) veca+vecb+vecc is a nul vector (B) veca+vecb+vecc is a unit vector (C) veca+vecb+vecc is a vector of magnitude 2 units (D) veca+vecb+vecc is a vector of magnitude 3 units

D, E and F are the mid-points of the sides BC, CA and AB, respectively of an equilateral Delta ABC. Show that Delta DEF is also an equilateral triangle.

The magnitudes of vectors vecA,vecB and vecC are 3,4 and 5 units respectively. If vecA+vecB= vecC , the angle between vecA and vecB is

Let veca,vecb , vecc are three vectors of which every pair is non collinear , and the vectors veca+3vecb and 2vecb+vecc are collinear with vecc are veca respectively. If vecb.vecb=1 , then find |2veca+3vecc| .

Let veca , vecb , vecc represent respectively vec(BC), vec(CA) and vec(AB) where ABC is a triangle , Then ,