If `bar(a)=(2,1,-1),bar(b)=(1,-1,0),bar(c)=(5,-1,1)` then the unit vector parallel to `bar(a)+bar(b)-bar(c)` but in the opposite direction is

If bara=(2,1,-1),bar(b)=(1,-1,0),bar(c)=(5,-1,1) then the unit vector parallel to bar(a)+bar(b)-bar(c) ,but in the opposite direction is

If bar(a)=(2,1,-1),bar(b)=(1,-1,0),bar(c)=(5,-1,1) then the unit vector parallel to bar(a)+bar(b)-bar(c) , but in opposite direction is

If bar(a)=(2,1,-1),bar(b)=(1,-1,0),bar(c)=(5,-1,1) then the unit vector parallel to bar(a)+bar(b)-bar(c) , but in opposite direction is

if bar(a),bar(b),bar(c) are any three vectors then prove that [bar(a),bar(b)+bar(c),bar(a)+bar(b)+bar(c)]=0

bar(a),bar(b),bar(c ) are three coplanar vectors, If bar(a) is not parallel to bar(b) , Show that

If bar(a),bar(b),bar(c) are three non zero vectors,then bar(a).bar(b)=bar(a).bar(c)rArr

If bar(a),bar(b) and bar(c) are mutually perpendicular vectors then [bar(a)bar(b)bar(c)]=

Let bar(a) =(1,1,-1), bar(b) =(5,-3,-3) and bar(c) =(3,-1,2). If bar(r) is collinear with bar(c) and has length (|bar(a)+bar(b)|)/(2) then bar(r)

If bar(c)=3bar(a)+4bar(b) and 2bar(C)=bar(a)-3bar(b) then which of the following are incorrect (A) bar(c) and bar(a) have same direction (B) bar(c) and bar(b) have same direction (C) |bar(c)|>|bar(a)| (D) |bar(b)|>|bar(c)|

If [bar(a)bar(b)bar(c)]=-4 then the volume of the parallelopiped with coterminus edges bar(a)+2bar(b),2bar(b)+bar(c),3bar(c)+bar(a) is (in cu units)