Two planes are perpendicular to one another. One of them contains vectors `a` and `b` and the other contains vectors `c` and `d` , then `(a xx b) . (c xx d)` equals

Two planes are perpendicular to one another. One of then contains vectors vec a and vec c and other contains vectors vec b and vec d then (vec a xx vec c) . (vec b xx vec d) =

If the four vectors a,b,c,d are coplanar, then (a xx b) xx (c xx d) =

If a,b,c,d are four vectors then (A xx b) xx (C xx d) =

The cross product of two vectors gives a vector perpendicular to the plane containing the vectors. If vec(a) and vec(b) are non-zero vectors, then vec(a)*(vec(a)xxvec(b))= _________

Show that the area of the triangle contained between the vectors a and b is one half of the magnitude of a xx b .

If a,b,c are the position vectors of A,B,C of Delta ABC then (a xx b) + (b xx c) + (c xx a) =

If veca,vecb,vecc,vecd are any for vectors then (vecaxxvecb)xx(veccxxvecd) is a vector (A) perpendicular to veca,vecb,vecc,vecd (B) along the the line intersection of two planes, one containing veca,vecb and the other containing vecc,vecd . (C) equally inclined both vecaxxvecb and veccxxvecd (D) none of these