bar(i)times[(bar(a)timesbar(b))timesbar(i)]+bar(j)times[(bar(a)timesbar(b))timesbar(j)]+bar(k)times[(bar(a)timesbar(b))timesbar(k)]

(bar(a)times(bar(b)+bar(c))+bar(b)times(bar(c)+bar(a))+bar(c)times(bar(a)+bar(b)))*(bar(a)timesbar(b))|= (A) |bar(b)timesbar(c)| (B) |bar(c)timesbar(a)| (C) |bar(a)timesbar(b)+bar(b)timesbar(c)+(bar(c)timesbar(a))| (D) 0

The point of intersection of the lines bar(r)timesbar(a)=bar(b)timesbar(a) and bar(r)timesbar(b)=bar(a)timesbar(b) is 1. bar(a)-bar(b) 2. bar(a)+bar(b) 3. 2bar(a)+3bar(b) 4. 3bar(a)-2bar(b)

If |bar(a)| =2 and |bar(b)|=3 and bar(a).bar(b)=0 then |(bar(a)times(bar(a)times(bar(a)times(bar(a)timesbar(b)))))|-

If [bar(a) bar(b) bar(c)]=2 then [2(bar(b)timesbar(c))(bar(-c)timesbar(a))(bar(b)timesbar(a))] is equal to

If [bar(a) bar(b) bar(c)]=2 ,then [2(bar(b)timesbar(c))(-bar(c)timesbar(a))(bar(b)timesbar(a))] is equal to

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

bar(i)xx[(bar(a)xxbar(b))xxbar(i)]+bar(j)xx[(bar(a)xxbar(b))xxbar(j)]+bar(k)xx[(bar(a)xxbar(b))xxbar(k)]=

Let bar(a),bar(b) and bar(c) be non - zero vectors bar(V)_(1)=bar(a)times(bar(b)timesbar(c)) and bar(V)_(2)=(bar(a)timesbar(b))timesbar(c) vectors bar(V)_(1) and bar(V)_(2) are equal then

If bar(a) and bar(b) are two unit vectors perpendicular to each other and bar(c)=lambda_1 bar(a)+lambda_2bar(b)+lambda_(3)(bar(a)timesbar(b)) ,then which of the following is (are) true? (A) lambda_(1)=bar(a).bar(c) (B) lambda_(2)=|bar(b)timesbar(a)| (C) lambda_(3)=|(bar(a)timesbar(b))timesbar(c)| (D) lambda_(1)+lambda_(2)+lambda_(3)=(bar(a)+bar(b)+bar(a)timesbar(b)).bar(c)

bar(a),bar(b),bar(c) are vectors such that [bar(a)bar(b)bar(c)]=4 then [bar(a)timesbar(b) bar(b)timesbar(c) bar(c)timesbar(a)] is (A) 16 (B) 64 (C) 4 (D)8