MCV4U - Unit 7 - Unit TEST 1. [8 Marks]. Four forces of magnitude 5N, 9 N, and 14 N are arranged as shown in the diagram at the left. Determine the resultant of these forces. 9N 5N 10 N 14 N 2. [6 Marks]. An airplane has an air speed of 300 km/h and is heading due west. If it encounters a wind blowing south at 50 km/h, what is the resultant ground velocity of the plane? 3. [6 Marks]. For the two vectors a and b whose magnitudes are shown in the diagram below, calculate the dot product. 5. [2 Marks]. The vectors - 5b and a - b are perpendicular. If a and b are unit vectors, then determine . b. = 6 120 a = 7.5 4. [[6 Marks]. Use the properties of the dot product to simplify each of the following expressions. (a) ( + 5b). (2 3b) (b) 3x. (x-3) (x 3). (3x + y) 6. [8 Marks]. If 0 is the angle (In degrees) between the two given vectors, calculate the dot product of the vectors. a. P = 4, || = 8,0 = 60 b. |x| = 2, |y| = 4,0 = 150