Theorem 1: If `veca` and `vecb` are two non collinear vectors; then every vector `vecr` coplanar with `veca` and `vecb` can be expressed in one and only one way as a linear combination: x`veca`+y`vecb`.

If veca and vecb are othogonal unit vectors, then for a vector vecr non - coplanar with veca and vecb vector vecr xx veca is equal to

STATEMENT-1 : If veca and vecb be two given non zero vectors then any vector vecr coplanar with veca and vecb can be represented as vecr=xveca+yvecb where x &yare some scalars. STATEMENT-2 : If veca,vecbvecc are three non-coplanar vectors, then any vector vecr in space can be expressed as vecr=xveca+yvecb+zvecc , where x,y,z are some scalars. STATEMENT-3 : If vectors veca & vecb represent two sides of a triangle, then lambda(veca+vecb) (where lambda ne 1 ) can represent the vector along third side.

If veca and vecb are non - zero vectors such that |veca + vecb| = |veca - 2vecb| then

Let veca and vecb be two non- zero perpendicular vectors. A vector vecr satisfying the equation vecr xx vecb = veca can be

If veca and vecb are two non collinear unit vectors and |veca+vecb|= sqrt3 , then find the value of (veca- vecb)*(2veca+ vecb)

vecA and vecB are two vectors. (vecA + vecB) xx (vecA - vecB) can be expressed as :

If veca, vecb and vecc 1 are three non-coplanar vectors, then (veca + vecb + vecc). [(veca + vecb) xx (veca + vecc)] equals

If veca, vecb and vecc 1 are three non-coplanar vectors, then (veca + vecb + vecc). [(veca + vecb) xx (veca + vecc)] equals

If veca and vecb are two non collinear unit vectors and iveca+vecbi=sqrt(3) then find the value of (veca-vecb).(2veca+vecb)

Let veca and vecb be two non-collinear unit vectors. If vecu=veca-(veca.vecb)vecb and vec=vecaxxvecb , then |vecv| is