[" उद्वहर्रण 9.सिद्ध कीजिए कि : "],[qquad (bar(a)-bar(b))*{(bar(b)-bar(c))times(bar(c)-bar(a))}=0]

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

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

If bar(a)+bar(b)+bar(c)=bar(0) then bar(a)timesbar(b)=

[bar(a)" "bar(b)+bar(c)" "bar(a)+bar(b)+bar(c)]=0

([[bar(a),bar(b),bar(c)]])/([[bar(b),bar(a),bar(c)]]) =

If [bar(a)+2bar(b)2bar(b)+bar(c)5bar(c)+bar(a)]=k[bar(a)bar(b)bar(c)]

[bar(a)xx bar(b)" "bar(a)xx bar( c )" "bar(d)] = …………….

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))] = ……………

Show that (bar(a)+bar(b)) . [(bar(b)+bar(c)) xx (bar(c )+bar(a))] = 2[bar(a)bar(b)bar(c )] .

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