need help with part c and d

Question 4 Consider the following bilinear from on RR, where r = (11, 12. 53)" and y = (1h, 12. 13)" are vectors in R. (a) [3 Marks] Find the matrix representation of B(r. y/) with respect to the standard basis {1, e2, (3} of IR3. (b) [4 Marks] Looking at part (c) of Question 3, find a basis y of R' such that B(r. () is represented by a diagonal matrix with respect to y. (c) [1 Mark] Find the quadratic from K(2) : R -. R, such that K(x) - B(r. .) - Jazz,. where r1, 12, 13 are the coordinates of z E R. with respect to the ordered basis {e1, (2, Ca} (d) [2 Marks] Let S denote the surface in R3 determined by the equation K(a) = 0 with respect to the standard basis {el, c2, ca}, where K (r) is as defined in part (c). Using the