Vector product of three vectors is given by `vec(A)xx(vec(B)xxvec(C))=vec(B)(vec(A).vec(C))-vec(C)(vec(A).vec(B))`
The value of `hat(i)xx(hat(j)xxhat(k))` is

Vector product of three vectors is given by vec(A)xx(vec(B)xxvec(C))=vec(B)(vec(A).vec(C))-vec(C)(vec(A).vec(B)) The value of hat(i)xx(hat(i)xxhat(j))+hat(j)xx(hat(j)xxhat(k))+hat(k)xx(hat(k)xxhat(i)) is

Vector product of three vectors is given by vec(A)xx(vec(B)xxvec(C))=vec(B)(vec(A).vec(C))-vec(C)(vec(A).vec(B)) The value of hat(i)xx(hat(i)xxhat(j))+hat(j)xx(hat(j)xxhat(k))+hat(k)xx(hat(k)xxhat(i)) is

Vector product of three vectors is given by vec(A)xx(vec(B)xxvec(C))=vec(B)(vec(A).vec(C))-vec(C)(vec(A).vec(B)) The plane of vector vec(A)xx(vec(A)xxvec(B)) lies in the plane of

Vector product of three vectors is given by vec(A)xx(vec(B)xxvec(C))=vec(B)(vec(A).vec(C))-vec(C)(vec(A).vec(B)) The plane of vector vec(A)xx(vec(A)xxvec(B)) lies in the plane of

Find vec(c) , when vec(a) xx vec(c) = vec(b) and vec(a).vec(c) =3 where vec(a) = hat(i) + hat(j) + hat(k) and vec(b) = hat(j) - hat(k)

The value of hat(i)xx(vec(a)xxhat(i))+hat(j)xx(vec(a)xxhat(j))+hat(k)xx(vec(a)xxvec(k)) is equal to

verify that vec(a) xx (vec(b)+ vec(c))=(vec(a) xx vec(b))+(vec(a) xx vec(c)) , "when" (i) vec(a)= hat(i)- hat(j)-3 hat(k), vec(b)= 4 hat(i)-3 hat(j) + hat(k) and vec(c)= 2 hat(i) - hat(j) + 2 hat(k) (ii) vec(a)= 4 hat(i)-hat(j)+hat(k), vec(b)= hat(i)+hat(j)+ hat(k) and vec(c)= hat(i)- hat(j)+hat(k).

The vectors vec a xx (vec b xxvec c), vec b xx (vec c xxvec a) and vec c xx (vec a xxvec b) are