Prove that`(vec(a). (vec(b) xx vec(c)) vec(a) = (vec(a) xx vec(b)) xx (vec(a) xx (c))` .

Show that (vec a - vec b) xx (vec a + vec b) = 2 (vec a xx vec b)

prove that [vec(a)-vec(b),vec(b)-vec(c)vec(c)-vec(a)]=0

Prove that [vec(a)+vec(b)+vec(c),vec(b)+vec(c),vec(c)]=[vec(a)vec(b)vec(c)]

If vec(d)=vec(a)xx(vec(b)xxvec(c))+vec(b)xx(vec(c)xxvec(a))+vec(c)xx(vec(a)xxvec(b))," then "

Show that ( vec a- vec b)xx( vec a+ vec b)=2( vec axx vec b)dot

If vec(a),vec(b),vec(c) are the non-coplanar vectors, then (vec(a).vec(b)xxvec(c))/(vec(c)xxvec(a).vec(b))+(vec(b).vec(a)xxvec(c))/(vec(c).vec(a)xxvec(b))= ……………

Prove that vec a xx (vec b + vec c) + vec b xx(vec a + vec c)+ vec c xx(vec a + vec b) = vec 0

If the volume of the parallelpiped with vec(a)xxvec(b),vec(b)xxvec(c),vec(c)xxvec(c)xxvec(a) as coterminous edges is 8 cubic units, then the volume of the parallelepiped with (vec(a)xxvec(b))xx(vec(b)xxvec(c)),(vec(b)xxvec(c))xx(vec(c)xxvec(a))and(vec(c)xxvec(a))xx(vec(a)xxvec(b)) as coterminous edges is,

If vec(A) + vec(B) +vec(C)=0, "then" vec(A) xx vec(B) is :