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Lines

5.1 Vector equation of a line





5.2 Cartesian equation of a line






















5.3 Lines in 3-D






5.4 Point of intersection of 2 lines





5.5 Perpendicular lines










5.6 Angle between 2 lines










5.7 Perpendicular distance of a point from a line.









5.8 Cross product




Activity 6
(i)
ii)
(iii)








Exercises

Question 1
Write down the vector equation of each of the following lines.

  1. passing through P(2, 4, 3) with direction vector
  2. passing through Q(-2, 4, -1) with direction vector
  3. passing through R(0, 3, -1) and parallel to the vector
  4. passing through T(6, -2, 3) and parallel to the vector

Question 2
The position vectors of A and B are given by . Find a vector
equation of the line through A and B.


Question 3
The position vectors of P and Q are given by

Find a vector equation of the line through P and Q.


Question 4
Given
Find the value of p for which c is parallel to AB