Let `vec(alpha)=ahati+bhatj+chatk,vecb=bhati+chatj+ahatk` and `vec(gamma)=chati+ahatj+bhatk` are three coplanar vectors with `a!=b` and `vec(gamma)=hati+hatj+hatk`. Then `vec(gamma)` is perpendicular to

Let vec(alpha)=ahati+bhatj+chatk, vec(beta)=bhati+chatj+ahatk and vec(gamma)=chati+ahatj+bhatk be three coplnar vectors with a!=b , and vecv=hati+hatj+hatk . Then vecv is perpendicular to

Let vec(alpha)=ahati+bhatj+chatk, vec(beta)=bhati+chatj+ahatk and vec(gamma)=chati+ahatj+bhatk be three coplnar vectors with a!=b , and vecv=hati+hatj+hatk . Then vecv is perpendicular to

Let vec(alpha)=ahati+bhatj+chatk, vec(beta)=bhati+chatj+ahatk and vec(gamma)=chati+ahatj+bhatk be three coplnar vectors with a!=b , and vecv=hati+hatj+hatk . Then vecv is perpendicular to

Let vec(alpha)=ahati+bhatj+chatk, vec(beta)=bhati+chatj+ahatk and vec(gamma)=chati+ahatj+bhatk be three coplnar vectors with a!=b , and vecv=hati+hatj+hatk . Then vecv is perpendicular to

Let vec(alpha)=ahati+bhatj+chatk, vec(beta)=bhati+chatj+ahatk and vec(gamma)=chati+ahatj+bhatk be three coplnar vectors with a!=b , and vecv=hati+hatj+hatk . Then vecv is perpendicular to

Let alpha = a hati + b hatj + chatk , vecbeta = bhati + chatj + ahatk and vecgamma = chati + ahatj + bhatk be three coplanar vectors with a ne b and vecv = hati + hatj + hatk . Then vecv is perpendicular to

If veca =hati + hatj - hatk, vecb = 2hati + 3hatj + hatk and vec c = hati + alpha hatj are coplanar vector , then the value of alpha is :

If vec(alpha)=2hati+3hatj-hatk, vec(beta)=-hati+2hatj-4hatk, vecgamma=hati+hatj+hatk , then (vec(alpha)xxvec(beta)).(vec(alpha)xxvec(gamma)) is equal to

If vec(alpha)=2hati+3hatj-hatk, vec(beta)=-hati+2hatj-4hatk, vecgamma=hati+hatj+hatk , then (vec(alpha)xxvec(beta)).(vec(alpha)xxvec(gamma)) is equal to

Let vec(a)=2hati-hatj+hatk,vec(b)=hati+2hatj-hatk and vec( c )=hati+hatj-2hatk be three vectors. A vector in the plane of vec(b) and vec( c ) whose projection on vec(a) is of magnitude sqrt(2//3) is