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9. The vector PQ, where P = (1, 3) and Q = (2, –1) 10. The vector OP where O is the origin and P is the midpoint of segment RS, where R = (2, –1) and S = (-4, 3) 11. The vector from the point A = (2, 3) to the origin 12. The sum of AB and CD, where A = (1, –1), B = (2, 0), C = (-1, 3), and D = (-2, 2) 13. The unit vector that makes an angle 0 = 27/3 with the positive х-ахis 14. The unit vector that makes an angle 0 = -37/4 with the positive х-ахis 15. The unit vector obtained by rotating the vector (0,1) 120° counterclockwise about the origin 16. The unit vector obtained by rotating the vector (1,0) 135° counterclockwise about the origin

9. The vector PQ, where P = (1, 3) and Q = (2, –1) 10. The vector OP where O is the origin and P is the midpoint of segment RS, where R = (2, –1) and S = (-4, 3) 11. The vector from the point A = (2, 3) to the origin 12. The sum of AB and CD, where A = (1, –1), B = (2, 0), C = (-1, 3), and D = (-2, 2) 13. The unit vector that makes an angle 0 = 27/3 with the positive х-ахis 14. The unit vector that makes an angle 0 = -37/4 with the positive х-ахis 15. The unit vector obtained by rotating the vector (0,1) 120° counterclockwise about the origin 16. The unit vector obtained by rotating the vector (1,0) 135° counterclockwise about the origin

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 31E
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In Exercises 9–16, find the component form of the vector.

9. The vector PQ, where P = (1, 3) and Q = (2, –1) 10. The vector OP where O is the origin and P is the midpoint of segment RS, where R = (2, –1) and S = (-4, 3) 11. The vector from the point A = (2, 3) to the origin 12. The sum of AB and CD, where A = (1, –1), B = (2, 0), C = (-1, 3), and D = (-2, 2) 13. The unit vector that makes an angle 0 = 27/3 with the positive х-ахis 14. The unit vector that makes an angle 0 = -37/4 with the positive х-ахis 15. The unit vector obtained by rotating the vector (0,1) 120° counterclockwise about the origin 16. The unit vector obtained by rotating the vector (1,0) 135° counterclockwise about the origin
Transcribed Image Text:9. The vector PQ, where P = (1, 3) and Q = (2, –1) 10. The vector OP where O is the origin and P is the midpoint of segment RS, where R = (2, –1) and S = (-4, 3) 11. The vector from the point A = (2, 3) to the origin 12. The sum of AB and CD, where A = (1, –1), B = (2, 0), C = (-1, 3), and D = (-2, 2) 13. The unit vector that makes an angle 0 = 27/3 with the positive х-ахis 14. The unit vector that makes an angle 0 = -37/4 with the positive х-ахis 15. The unit vector obtained by rotating the vector (0,1) 120° counterclockwise about the origin 16. The unit vector obtained by rotating the vector (1,0) 135° counterclockwise about the origin
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