`veca,vecb,vecc` are three non zero vectors such that ` vecaxxvecb=vecc,vecbxxvecc=veca`.Prove that `veca,vecb,vecc` are mutually at right angle and `|vecb|=1,|vecc|=|veca|`.
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If veca,vecb,vecc are three coplanar vectors, then [vecavecbvecc] is
Show that if veca+vecb,vecb+vecc,vecc+veca are coplanar then veca,vecb,vecc are also coplanar.
If veca, vecb, vecc are unit vectors such that veca+vecb+vecc=0 , find the value of veca.vecb+vecb.vecc+vecc.veca .
Prove that [ veca+vecb vecb+vecc vecc+veca]=2[veca vecb vecc]
If veca,vecb,vecc are coplanar,prove that veca+vecb,vecb+vecc,vecc+veca are coplanar.
Hence, show that veca.vecb+vecb.vecc+vecc.veca=(-3)/2 if veca+vecb+vecc=0 .
