3D coordinates: distance and midpoint Problem set B Answers

1. (a) (1, −4, 4)
2. (b) 5.74
3. (c) (3, 0.5)

1. (a) 10.5
2. (b) k = −0.477 or k = 10.5

a = 5, b = 3

\(y = \frac{4}{3}x - \frac{7}{3}\); \(4x - 3y - 7 = 0\)

1. (a) \(- \frac{2}{3}\)
2. (b) \(y = \frac{3}{2}x + \frac{11}{2}\)
3. (c) \(\left(- \frac{9}{13}, \frac{58}{13}\right) = (−0.692, 4.46)\)
4. (d) 0.555

1. (a) 593 m
2. (b) 4.94 m/s

1. (a) B(4, 2.5, 0), E(2, 2.5, 2.2)
2. (b) (2, 1.25, 2.2)
3. (c) 4.79 m

1. (a) 1.84 m
2. (b) 1.96 m

2.19 m

1. (a) (0, 1)
2. (b) B(3, 4), D(−3, −2)
3. (c) 36.0

1. (a) \(y = -x + 3\)
2. (b) B(3, 0), D(−5, 8)
3. (c) 6.32