7. (T 2 Marks) ( Two separate questions) What can you conclude about the vectors u and v , given that i) u . v = lul |vl ii ) |uxvl = | ul |vl Page 4 of 5 8. (T 3 Marks ) Find the volume of the parallelepiped. Z C(2, 3, 5) D(6, 5, 3)3. (A 2 + 2 Marks + C 2 marks) a) A helicopter lifts vertically from a landing pad and flies 10 km on a bearing of 650, then turns and travels 30 km on a bearing of 110. Find the displacement of the helicopter from the landing pad. ( Represent these displacements in a vector diagram, then calculate the helicopter from the landing pad.) b) If & = [m, n, 1] is perpendicular to both a = [5, 1, -2] and b = [3, -3, 6], find m and n. 4. (A 2 + 2 + 1 Marks + C 2 Marks) (Comm. Marks for an appropriate diagram.) The pilot of a small airplane that flies at 600 km/h wishes to travel from Toledo, OH to New York, NY which is 800 km due East. There is a 50km/h wind from the northeast. a) What should the heading be? b) What is the ground speed of the plane? c) How long does it take for the pilot to go from Toledo, OH to New York, NY