1. A quantity with only magnitude is called a _____. A. resultant B. matrix C. scalar D. vector Hint 2. A ship leaving port sails for 100 miles in a direction 40° north of due east. Find the magnitude of the vertical and horizontal components. A. about 50 miles; about 87 miles B. about 87 miles; about 50 miles C. about 77 miles; about 84 miles D. about 64 miles; about 77 miles Hint 3. Write the ordered pair that represents the vector from X(-4, 7) to Y(3, -4). A. B. C. D. Hint 4. Let . Find . A. B. C. D. Hint 5. Find the magnitude of for T(4, 0, -6) and M(5, -1, 0). A. B. 6 C. D. Hint 6. Find the inner product of and if and . A. 14 B. -14 C. -12 D. -8 Hint 7. What is the magnitude of the resultant of a 100-newton force along the x-axis and a 150-newton force at an angle of 40° to each other? A. 235.54 N B. 125 N C. 162.99 N D. 180.28 N Hint 8. Find the parametric equations for a line parallel to and passing through the point at (-3, -5). A. x = -4 - 3t and y = -2 - 5t B. x = -4 + 3t and y = 2 + 5t C. x = 4 - 3t and y = -2 + 5t D. x = -3 + 4t and y = -5 - 2t Hint 9. If a rectangular prism represented by the vertex matrix below is translated using the vector , find the vertex matrix for the translated image. A. B. C. D. Hint 10. Write as the sum of unit vectors for U(4, 3, -8) and V(-5, -4, -2). A. B. C. D. Hint 11. Find if and . A. B. C. D. Hint 12. In physics, you can determine how much force with which an object is sliding down a frictionless incline by adding the gravitational force vector and the ''normal force'' vector. The normal force vector is always directed up out of the incline perpendicular to it (90° more than the measure of the incline). The magnitude m of the normal force can be calculated by m = f cos , where f is the gravitational force and is the angle measure of the incline. If a gravitational force (always straight down) of 50 N is being exerted on an object on a 25° incline, what is the magnitude of the force with which it is sliding down the incline? A. 93.1 N B. 50 N C. 21.1 N D. 45.3 N Hint 13. Write an equation in slope-intercept form of the line whose parametric equations are x = 3t - 4 and y = -t + 8. A. y = -3t + 12 B. C. y = 8 - x D. y = 3x - 4 Hint 14. Karla is in a contest to see who can hit a baseball the farthest. If she hits a ball with an initial velocity of 94.5 ft/s at an angle of 42° with the horizontal, how far will the ball travel before it hits the ground? A. 395 ft B. 277 ft C. 250 ft D. 139 ft Hint 15. If a quarterback throws a 30-yard pass to his receiver with an initial velocity of 21 yards per second at an angle of 15 with the horizontal, how long is the ball in the air? A. 5.52 s B. 1.48 s C. 0.68 s D. 1.43 s Hint 16. If a rectangular prism represented by the vertex matrix below is translated using the vector , find the vertex matrix for the translated image. A. B. C. D. Hint