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ZIMSEC A-Level Pure Mathematics

6.2.2.2Vector and Cartesian equations of a straight line

Vector and Cartesian equations of a straight line in ZIMSEC A-Level Pure Mathematics: what the syllabus expects you to know, the learning objectives and how to practise.
Subtopic21 practice questions1 lesson
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Overview

Form 6.

Learning objectives

What the syllabus expects you to be able to do.

  1. 6.2.2.2.1Form 6: find vector and Cartesian equations of a straight line in three dimensions.
  2. 6.2.2.2.2Form 6: determine whether two lines are parallel, intersecting or skew, and find the angle between two lines.
  3. 6.2.2.2.3Form 6: find the perpendicular distance from a point to a line and the coordinates of the foot of the perpendicular.

Lessons

  • Vector equations of lines in three dimensions

    55 min

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Sample question

A sample question on this topic. Answer it, check it, then read the worked answer.

Vector and Cartesian equations of a straight line: sample question

1 mark

The point (9,−1,10)(9, -1, 10) lies on the line r=i+3j−2k+t(2i−j+3k)\mathbf{r} = \mathbf{i} + 3\mathbf{j} - 2\mathbf{k} + t(2\mathbf{i} - \mathbf{j} + 3\mathbf{k}). Find the value of the parameter tt at this point.

Only if the answer has a unit, e.g. cm or km/h.

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