Vectors point the way to FUN!
 1. Vector a = <5, -12>. Find its magnitude.A) 13B) -7C) 7D) 172. Vector b = 7i - 22j. Find its magnitude.A) √29B) √533C) √491D) 13√413. Vector c has magnitude 492 miles @ 240 degrees standard. What is the horizontal component of c?A) 246 milesB) 426.08 milesC) -246 milesD) -426.08 miles4. Vector d = <4, 3>. Vector e = <3, 5>. Find the angle between these two vectors.A) 59.03 degreesB) 36.87 degreesC) 31.49 degreesD) 22.17 degrees5. Vector h = 10i - 23j. Vector g = 13i + 31j. Find h.g.6. Vector l = <3, 6, 11>. What is its magnitude?A) √202B) √166C) 2√83D) 2√1017. To find horizontal displacement, you should use the magnitude times the...A) cosine valueB) sine valueC) tangent valueD) inverse cosecant value8. To find vertical displacement, you should use the magnitude times the.....A) cotangent valueB) rational rootsC) sine valueD) cosine value9. 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) 379.25 milesB) 506.84 milesC) 901.42 milesD) 392.57 miles10. Vectors <5, 7> and <0.2, z> are parallel. Find z.A) 1.4B) 0.14C) -3.57D) 0.2811. Vector m = 19i. Vector n = 11i - 11j. Find the angle between m and n.A) 180 degreesB) 0 degreesC) 135 degreesD) 45 degrees12. True or false: When you take the dot product of a vector with itself, you get the magnitude squared.A) True, you bet!B) False, no way!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√89B) √801C) √1181D) √590516. Vector s = <19, -44>. Find the bearing of s.A) 66.64 degreesB) 23.36 degreesC) 156.64 degreesD) 336.64 degrees17. 144 degrees standard is the same as....A) 54 degree bearingB) 36 degree bearingC) 126 degree bearingD) 306 degree bearingE) 216 degree bearing18. 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 = 1B) (x + 5)2/100 - y2/9 = 1C) none of theseD) x2/25 - (y + 12)2 = 1E) (y - 12)2/100 + (x + 33)2/256 = 1
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