If `bar a+2 bar b+3 bar c=0` then find the value of `(bar b times bar c+bar c times bar a+bar a times bar b)`

if bar a+2 bar b+3bar c=bar 0 then bar axxbar b+bar b xx bar c+bar cxx bara = lambda (bar b xx bar c) ,where lambda=

The value of (bar(A)+bar(B))times(bar(A)-bar(B)) is

If bar a=hat i +hat j+ hat k, bar b=hat i-hat j +hat k, bar c=hat i +2hat j-hat k then the value of |[bar a.bar a, bar a.bar b, bar a.bar c],[bar b.bar a,bar b.bar b, bar b.bar c],[bar c.bar a,bar c.bar b,bar c.barc]|

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)))))| (A) 16 (B) 32 (C) 48 (D) 0

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)))))|-

Let bar(a)=-bar(i)-bar(k),bar(b)=-bar(i)+bar(j) and bar(c)=bar(i)+2bar(j)+3bar(k) be three given vectors. If bar(r) is a vector such that bar(r) times bar(b)=bar(c) times bar(b) and bar(r).bar(a)=0 then bar(r).bar(b)=

If bar(a),bar(b),bar(c) are coplanar then the value of |[bar(a),bar(b),bar(c)],[bar(a)*bar(a),bar(a)*bar(b),bar(a)*bar(c)],[bar(b).bar(a),bar(b)*bar(b),bar(b)*bar(c)]|=

Prove that [[bar a xx bar p, bar b xx bar p, bar cxx bar r]]+[[bar axx bar q, bar b xx bar r, bar c xx bar p]]+[[bar a xx bar r, bar b xx bar p,bar c xx bar q]]=0

Let bar a = 2bar i + bar k,bar b=bar i+bar j+bar k and bar c=4 bar i-3bar j+7 bar k three vectors. The vector which satisfies bar r xx bar b=bar c xx bar b and bar r.bar a=0 is

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