Question

19. A pontoon boat is traveling 25 miles per hour in the direction of S 65° W. If it hits a current traveling at 6 miles per hour in the N 15° W direction, find the resultant magnitude and direction of the boat. A. 22.73 mph; N 80.32° W B. 21.45 mph; S 73.77° W C. 23.09 mph; N 72.48° W D. 24.68 mph; S 78.85° W 20. A cannonball is launched at an angle of 75° with the ground at a speed of 40 meters per second. Find the magnitudes of the vertical and horizontal components of its velocity. Vertical Component Horizontal Component For questions 21 and 22, find the dot product of each vector pair. Then, determine whether the vectors are orthogonal. 21. u = ?5, 3?; v = ?-9, 15? Dot Product Orthogonal? Yes No 22. a = 6i - 18j; b = -8i + 3j Dot Product Orthogonal? Yes No For questions 23 and 24, find the angle between the vectors to the nearest hundredth of a degree. 23. p = ?-9, -1?; q = ?2, 6? 24. v = -5i + 6j; w = 8j

          19. A pontoon boat is traveling 25 miles per hour in the direction of S 65° W. If it hits a current traveling at 6 miles per hour in the N 15° W direction, find the resultant magnitude and direction of the boat.
A. 22.73 mph; N 80.32° W
B. 21.45 mph; S 73.77° W
C. 23.09 mph; N 72.48° W
D. 24.68 mph; S 78.85° W
20. A cannonball is launched at an angle of 75° with the ground at a speed of 40 meters per second. Find the magnitudes of the vertical and horizontal components of its velocity.
Vertical Component
Horizontal Component
For questions 21 and 22, find the dot product of each vector pair. Then, determine whether the vectors are orthogonal.
21. u = ?5, 3?; v = ?-9, 15?
Dot Product
Orthogonal?
Yes
No
22. a = 6i - 18j; b = -8i + 3j
Dot Product
Orthogonal?
Yes
No
For questions 23 and 24, find the angle between the vectors to the nearest hundredth of a degree.
23. p = ?-9, -1?; q = ?2, 6?
24. v = -5i + 6j; w = 8j

19. A pontoon boat is traveling 25 miles per hour in the direction of S 65° W. If it hits a current traveling at 6 miles per hour in the N 15° W direction, find the resultant magnitude and direction of the boat.
A. 22.73 mph; N 80.32° W
B. 21.45 mph; S 73.77° W
C. 23.09 mph; N 72.48° W
D. 24.68 mph; S 78.85° W
20. A cannonball is launched at an angle of 75° with the ground at a speed of 40 meters per second. Find the magnitudes of the vertical and horizontal components of its velocity.
Vertical Component
Horizontal Component
For questions 21 and 22, find the dot product of each vector pair. Then, determine whether the vectors are orthogonal.
21. u = ?5, 3?; v = ?-9, 15?
Dot Product
Orthogonal?
Yes
No
22. a = 6i - 18j; b = -8i + 3j
Dot Product
Orthogonal?
Yes
No
For questions 23 and 24, find the angle between the vectors to the nearest hundredth of a degree.
23. p = ?-9, -1?; q = ?2, 6?
24. v = -5i + 6j; w = 8j

Added by Nia

Question

Please give Ace some feedback