- 1. Vector a = <5, -12>. Find its magnitude.
A) 13
B) -7
C) 17
D) 7
- 2. Vector b = 7i - 22j. Find its magnitude.
A) √491
B) √533
C) 13√41
D) √29
- 3. Vector c has magnitude 492 miles @ 240 degrees standard. What is the horizontal component of c?
A) -246 miles
B) -426.08 miles
C) 426.08 miles
D) 246 miles
- 4. Vector d = <4, 3>. Vector e = <3, 5>. Find the angle between these two vectors.
A) 59.03 degrees
B) 22.17 degrees
C) 31.49 degrees
D) 36.87 degrees
- 5. Vector h = 10i - 23j. Vector g = 13i + 31j. Find h.g.
- 6. Vector l = <3, 6, 11>. What is its magnitude?
A) √202
B) 2√83
C) 2√101
D) √166
- 7. To find horizontal displacement, you should use the magnitude times the...
A) sine value
B) tangent value
C) cosine value
D) inverse cosecant value
- 8. To find vertical displacement, you should use the magnitude times the.....
A) cosine value
B) cotangent value
C) rational roots
D) sine value
- 9. Your friend goes 310 miles at a 10 degree bearing and then goes 770 miles at a 165 degree bearing. The resultant vector shall be called q. Find ||q||.
A) 901.42 miles
B) 506.84 miles
C) 379.25 miles
D) 392.57 miles
- 10. Vectors <5, 7> and <0.2, z> are parallel. Find z.
A) 0.14
B) 1.4
C) -3.57
D) 0.28
- 11. Vector m = 19i. Vector n = 11i - 11j. Find the angle between m and n.
A) 135 degrees
B) 45 degrees
C) 0 degrees
D) 180 degrees
- 12. True or false: When you take the dot product of a vector with itself, you get the magnitude squared.
A) False, no way!
B) True, you bet!
C) I'd rather not say.
- 13. Vector p = <16/65, 63/65>. Find ||p||.
- 14. Vector p = <16/65, 63/65>. Find the direction (standard angle) of p. Round correctly to two decimal places and kindly include the word "degrees" in your answer.
- 15. Vector r = 5i + 29j. Vector s = <19, -44> Find || r + s ||
A) 3√89
B) √1181
C) √5905
D) √801
- 16. Vector s = <19, -44>. Find the bearing of s.
A) 23.36 degrees
B) 336.64 degrees
C) 66.64 degrees
D) 156.64 degrees
- 17. 144 degrees standard is the same as....
A) 126 degree bearing
B) 216 degree bearing
C) 306 degree bearing
D) 54 degree bearing
E) 36 degree bearing
- 18. What is the eccentricity of the hyperbola with the equation (y - 23)2/25 - (x + 10)2/375 = 1?
- 19. A hyperbola has a central rectangle with perimeter = 26 units. Which of the following is the only possibility for its equation?
A) (y + 1)2/169 - (x + 7)2/169 = 1
B) none of these
C) (x + 5)2/100 - y2/9 = 1
D) (y - 12)2/100 + (x + 33)2/256 = 1
E) x2/25 - (y + 12)2 = 1
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