If from a point Q(a, b, c ) perpendiculars QA and QB are drawn to the YZ and ZX planes respectively, then find the vector equation of the plane OAB.

If from a point Q(a, b, c ) perpendiculars QA and QB are drawn to the YZ and ZX planes respectively, then find the vector equation of the plane OAB. 13 13 (c) 13 -2 s -3 2 (iii) In AABC, if a 5 4 5 13, b 13 3 14 and c • IS, then sin — — 2 5 (B) (i) (ii) (iii) (iv) (v) Attempt any THREE of the following : Find the volume of the parallelopiped whose coterminus edges are given by vectors 2; +3 j —4 i, and 4; +53—2Z. In AABC, prove that, a (b cos C— c cos B) — b2 — c2. If from a point Q (a, b; e) perpendiculars QA and QB are drawn to the YZ and ZX planes respectively, then find the vector equation of the plane OAB. Find the cartesian equation of the line passing through the points A(3, 4, —7) and B(6, —l, l). Write the following statement in symbolic form and find its truth value : V n e N, n2 + n is an even number and n2 — n is an odd (6) number. Page 2 (2) ratio Normal to the plane is condition