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

The vectors bara,barb and bara+barb are

Three points whose position vectors are bara+barb,bara-barb and bara+kbarb are collinear, then the value of k is

[[bara-barb, barb-bara, barc-bara]]=

IF the vector bara and barb are non-coplanar then bara/|bara|+barb/|barb| is

Let bara and barb be two non coplanar unit vectors IF baru=bara-(bara.barb)barb and barv=bara times barb then |barv| is

If bara,barb,barc are non-zero, non collinear vectors, then the vectors bara-barb+barc,4bara-7barb-barc and 3bara+6barb+6barc are

The volume of parallelopiped with vector bara+2barb-barc,bara-barb and bara-barb-barc is equal to k[bar(a)bar(b)bar(c)] then k=

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

If the points A,B,C and D have position vectors bara,2bara+barb,4bara+2barb and 5 bara+4barb respectively, then three collinear points are

If bara and barb are unit vectors such that bara + 2barb and 5bara- 4barb are perpendicular to each other, then the angle between bara and barb is