1.
|
a
|
29.7o
|
|
b
|
45o
|
|
c
|
169.6o
|
|
d
|
136.1o
|
|
e
|
52.2o
|
|
f
|
114.5o
|
2. 173.8o or 6.2o
3. 99.3o or 80.7o
4.
| Points | Ratio | Answer | |
|
a
|
A = (3, 6) and B = (-3, 3) |
AP:PB = 2:1
|
(-1, 4) |
|
b
|
A = (6, 1, 5) and B = (2, 5, -3) |
AP:PB = 1:3
|
(5, 2, 3) |
|
c
|
A = (4, -3, 1) and B = (-1, 2, -4) |
AP:PB = 3:2
|
(1, 0, -2) |
|
d
|
A = (-4, 5) and B = (3, -9) |
AP:PB = 3:4
|
(-1, -1) |
|
e
|
A = (-3, 8) and B = (4, 4) |
AP:PB = -2:1
|
(11, 0) |
|
f
|
A = (6, -2, -1) and B = (2, 0 , 7) |
AP:PB = 3: -5
|
(12, -5, -13) |
5.
(i) OB = 24 units
(ii) MC = 7i − 20j - 24k
MN = 20j − 24k(iii) 80o
6. a. 88.1o
b. p = − 0.5
7.
(i) MN = 8i + 12.5j − 13k
MA = 16i − 12.5j − 26k
(ii) 62o
