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1. Find the length of s. (2 points} 12 2. Find the missing side length. (2 points) 13 15 For questions 3 - 4, assume

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1. Find the length of s. (2 points} 12 2. Find the missing side length. (2 points) 13 15 For questions 3 - 4, assume the triangle has the given measurements. Solve for the remaining sides and angles. (3 points each) 3. C = 95' , a = -, and b= _ B A 950 w / - 4. A = 4, b= 32.6, and c = 41.4 C 32.6 B 41.4\fo 7. Viewed from Earth, two stars form an angle of 76.04. Star A is 23.30 light- years from Earth, and Star B is 34.76 light-years from Earth. Sketch a diagram modeling this situation and find how many light-years the stars are from each other. (3 points)Questions 8 - 10, deal with the ambiguous SSA case. For each, find all possible solutions and sketch the triangle(s) in each case. (3 points each) 0 8. A = 50, a = 15, b = 12 0 9. A = 50, a = 10, b = 15 10. A = 47, a = 1.6, b = 2For questions 11 - 14, solve the given triangles by finding the missing angle and other side lengths. (3 points each) 11. \fO 13. Let A = 18 and C = 140. B C A\f15. Compute the following linear combinations. (3 points) a. 4{-2, 3) - 2(6, -?'} h. 09.4, 53.1) + 3(0.e, 6.3) 16. Let v1 = (2, -6) and v2 = (-4, 1'). 3. Compute M and |v3|. (1 point) I). Compute the unit vectors in the direction of M and |v2|. (1 point) e. Drew and label v1, 1:2, e, +93. (1 point) 17. let v1 = (-6, 4) and v2 = (-3, 6). Compute the following. a. V, * v2 (1 point) b. The angle between (v, | and |v2|. (1 point) c. The scalar projection of v1 onto v2. (1 point) d. The projection of v1 onto v2. (1 point)

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