3D coordinates: distance and midpoint Problem set A Answers

1. (a) (1, 1, 6)
2. (b) 6.16
3. (c) (3, 2.5)

1. (a) 11.0
2. (b) k = −0.472 or k = 8.47

a = 14, b = −2

\(y = - \frac{3}{4}x - \frac{1}{4}\); \(3x + 4y + 1 = 0\)

1. (a) \(\frac{3}{4}\)
2. (b) \(y = - \frac{4}{3}x + \frac{31}{3}\)
3. (c) \(\left(\frac{88}{25}, \frac{141}{25}\right) = (3.52, 5.64)\)
4. (d) 5.80

1. (a) 147 m
2. (b) 8.17 m/s

1. (a) B(2.4, 3.6, 0), E(1.2, 3.6, 1.5)
2. (b) (1.2, 1.8, 1.5)
3. (c) 4.46 m

1. (a) 9.13 m
2. (b) 9.58 m

15.0 cm

1. (a) (2, 0)
2. (b) B(4, 3), D(0, −3)
3. (c) 26.0

1. (a) \(y = - \frac{3}{2}x + 5\)
2. (b) B(4, −1), D(0, 5)
3. (c) 5.10