(bar(a)+2bar(b)-bar(c))*(bar(a)-bar(b))times(bar(a)-bar(b)-bar(c))=

The value of [(bar(a)+2bar(b)-bar(c))(bar(a)-bar(b))(bar(a)-bar(b)-bar(c))] is equal to the box product

(bar(a)+2bar(b)-bar(c))*(bar(a)-bar(b))xx(bar(a)-bar(bar(c)))=

If bar(a),bar(b) and bar( c ) are not coplanar then (bar(a)+bar(b)+bar( c ))*[(bar(a)+bar(b)) times (bar( a )+bar(c))] = ……………

bar(a)*{(bar(b)+bar(c))times(bar(a)+bar(b)+bar(c))}=...... ,

If [bar(a)bar(b)bar(c)]!=0andbar(p)=(bar(b)xxbar(c))/([bar(a)bar(b)bar(c)]),bar(q)=(bar(c)xxbar(a))/([bar(a)bar(b)bar(c)]),bar(r)=(bar(a)xxbar(b))/([bar(a)bar(b)bar(c)]) , then bar(a)*bar(p)+bar(b)*bar(q)+bar(c)*bar(r) is equal to

Let bar(a),bar(b),bar(c) are three vectors of magnitudes 1,(1)/(sqrt(2)),sqrt(2) respectively,satisfying [bar(a)bar(c)bar(c)]=1 value of (2bar(a)+bar(b)+bar(c))*(bar(a)xxbar(c))xx(bar(a)-bar(c))+bar(b)) is

(bar(a)+bar(b))xx(bar(a)-bar(b))+(bar(b)+bar(c))xx(bar(b)-bar(c))+(bar(c)+bar(a))xx(bar(c)-bar(a))=

(bar(a)+bar(b))xx(bar(a)-bar(b))+(bar(b)-bar(c))xx(bar(b)-bar(c))+(bar(c)+bar(a))(bar(c)-bar(a))=

If bar(a),bar(b)andbar(c) are any three vectors, prove that (1) [bar(a)+bar(b) bar(b)+bar(c) bar(c)+bar(a)]=2[bar(a)bar(b)bar(c)] (2) [bar(a) bar(b)+bar(c) bar(a)+bar(b)+bar(c)]=0

If [bar(a)bar(b)bar(c)]=1 then (bar(a)(bar(b)xxbar(c)))/((bar(c)xxbar(a))*bar(b))+(bar(b)*(bar(c)xxbar(a)))/((bar(a)xxbar(b))*bar(c))+(bar(c)(bar(a)xxbar(b)))/((bar(b)xxbar(c))*bar(a))