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ZIMSEC A-Level Pure Mathematics

6.2.2.3The cross product and equations of a plane

The cross product and equations of a plane in ZIMSEC A-Level Pure Mathematics: what the syllabus expects you to know, the learning objectives and how to practise.
Subtopic37 practice questions2 lessons

Overview

Form 6.

Learning objectives

What the syllabus expects you to be able to do.

  1. 6.2.2.3.1Form 6: find the cross product of given vectors and use it to find areas of plane shapes.
  2. 6.2.2.3.2Form 6: find vector, parametric and Cartesian equations of a plane.
  3. 6.2.2.3.3Form 6: find the angle between a line and a plane and between two planes.
  4. 6.2.2.3.4Form 6: determine whether a line lies in, is parallel to or intersects a plane, and find the point of intersection.
  5. 6.2.2.3.5Form 6: find the line of intersection of two planes and the perpendicular distance from a point to a plane, and solve problems on lines and planes.

Lessons

  • Lines and planes: angles, intersections and distances

    50 min

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  • The vector product and equations of planes

    45 min

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Sample question

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

The cross product and equations of a plane: sample question

1 mark

What is i×k\mathbf{i} \times \mathbf{k}?

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