Find the cross product a x b. a=3i+3j3k, b=3i3j+3k : Verify that it is orthogonal to both a and b. (a x b) - a = :1 (a x b) - b = E Find the vector, not with determinants, but by using properties of cross products. (i + j) x (i - j) The figure shows a vector a in the xy-plane and a vector b in the direction of k. Their lengths are la| = 4 and |b| = 3. ZA b a i (a) Find la x b|.Find two unit vectors orthogonal to both j - k and i + j. smaller i-component larger i-componentFind the area of the parallelogram with vertices P(1, 2, 1), Q(4, 5, 4), R(9, 10, 13), and S(6, 7, 10). Need Help? Read ItConsider the points below. P( -3, 0, 3), Q(1, 2, -2), R(0, 5, 6) (a) Find a nonzero vector orthogonal to the plane through the points P, Q, and R. (b) Find the area of the triangle PQR