For any three vectors `bara, barb, barc` prove :
`[bara-barb, barb-barc, barc-bara]=0`

IF bara,barb,barc are unit vectors such that bara+barb+barc=0 then the value of bara.barb+barb.barc+barc.bara is

For three non-coplanar vectors bara,barb,barc the relation |(bara times barb).barc|=|bara||barb||barc| holds true , if

For any two vectors barA and barB if barA.barB=|bar AxxbarB| , the magnitude of barC=barA+barB is equal to :

If barc=bara times barb and barb=barc times bara then

If vecc=3veca-2vecb then prove that [(bara, barb, barc)]=0

Prove that [bara times barb bara times barc bard]=(bara.bar d)[bara barb barc]

Volume of parallelepiped determined by vectors bara,barb and barc is 5. Then the volume of the parallelepiped determined by the vectors 3(bara +barb). (barb + barc) and 2( barc + bara) is

If theta is the angle between any two vectors bara and barb and | bara xx barb | = | bara.barb | , then value of theta is

Show that vectors |barb|bara+|bara|barb and |barb||bara-|bara|b are orthogonal.

bara,barb,barc are three unit vectors such that |bara-barb|^2+|bara-barc|^2=8 ,then |bara+2barb|^2+|bara+2barc|^2=