If `|vec(A)xxvec(B)|=sqrt(3)vec(A).vec(B)`, then the value of `|vec(A)+vec(B)|` is

vec(A) and vec(B) are two Vectors and theta is the angle between them, if |vec(A)xxvec(B)|= sqrt(3)(vec(A).vec(B)) the value of theta is

vec(A) and vec(B) are two Vectors and theta is the angle between them, if |vec(A)xxvec(B)|= sqrt(3)(vec(A).vec(B)) the value of theta is

If |vec(a)|=10,|vec(b)|=2 and vec(a)*vec(b)=12 , then the value of the |vec(a)xxvec(b)| is

If |vec(c)|=10, |vec(b)|=2 and vec(a)*vec(b)=12 , then what is the value of |vec(a)xxvec(b)| ?

Assertion: vec(A)xxvec(B) is perpendicualr to both vec(A)-vec(B) as well as vec(A)-vec(B) Reason: vec(A)xxvec(B) as well as vec(A)-vec(B) lie in the plane containing vec(A) and vec(B) , but vec(A)xxvec(B) lies perpendicular to the plane containing vec(A) and vec(B) .

Let vec(a), vec(b), vec(c) be non-coplanar vectors and vec(p)=(vec(b)xxvec(c))/([vec(a)vec(b)vec(c)]), vec(q)=(vec(c)xxvec(a))/([vec(a)vec(b)vec(c)]), vec(r)=(vec(a)xxvec(b))/([vec(a)vec(b)vec(c)]) . What is the value of (vec(a)-vec(b)-vec(c)).vec(p)+(vec(b)-vec(c)-vec(a)).vec(q)+(vec(c)-vec(a)-vec(b)).vec(r) ?

If [vec(a),vec(b),vec(c)]=1, then the value of (vec(a)*(vec(b)xxvec(c)))/((vec(c)xxvec(a))*vec(a))+(vec(b)*(vec(c)xxvec(a)))/((vec(a)xxvec(b))*vec(c))+(vec(c)(vec(a)xxvec(b)))/((vec(c)xxvec(b))*vec(a)) is