CAIE: A Level - Mathematics 9709 - Pure Mathematics 3

Vectors / Questions Involving Equation of Line

KEYPOINTS:

Vector equation of a straight line passing through a point with position vector a and direction vector b is r = a + tb, where t is a scalar.
In three dimensions, skew lines are lines that are not parallel but do not intersect.
The angle between two straight lines is defined as the angle between their direction vectors.

DISTANCE FROM A POINT TO A LINE

Shortest distance OR perpendicular distance from a point to a line is d = \(\frac{|Ax+By+C|}{\sqrt{A^2+B^2}}\)

Where Ax + By + C = 0 is the equation of the line and (x, y) are the coordinates of the foot of the perpendicular from the point to the line.

Past Papers Topic Wise Questions A Level: Mathematics 9709 - Pure Mathematics 3 Vectors | Questions Involving Equation of Line

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

55

56

57

58

59

60

61

The questions available on this website are the sole intellectual property of cambridgeinternational.org Our role is to curate these questions into organized topics, with the intention of benefiting students.

Copyright 2020 - , cambridgepapers.net | All rights reserved