Let `bar(a)` , `bar(b)` and `bar(c)` be vectors with magnitudes `3,4` and `5` respectively and `bar(a)+bar(b)+bar(c)=0` then the value of `bar(a).bar(b)+bar(b).bar(c)+bar(c).bar(a)` is

If bar(a)+2bar(b)+3bar(c)=bar(0) then bar(a)xxbar(b)+bar(b)xxbar(c)+bar(c)xxbar(a)=

Let bar(a),bar(b) and bar(c) be three vectors having magnitudes 1,1 and 2 respectively. If bar(a)times(bar(a)times bar(c))-bar(b)=0 then the acute angle between bar(a) and bar(c) is

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

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)xxbar(b)=bar(c) and bar(b)xxbar(c)=bar(a), then

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

If bar(c)=3bar(a)-2bar(b) , then prove that [bar(a)bar(b)bar(c)]=0 .

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

bar(a) , bar(b) and bar(c) are three vectors such that bar(a) + bar(b) + bar(c) = bar(0) and |bar(a)| =2, |bar(b)| =3, |bar(c)| =5 ,then bar(a) . bar(b) + bar(b) . bar(c) + bar(c) . bar(a) equals

If bar(c) = 3 bar(a) - 2 bar(b) then prove that [(bar(a),bar(b),bar(c))] = 0