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Table of contents:
The content follows the order of the Higher Still Unit specifications. Full explanatory text with worked examples allows an element of self-study. Graded exercises develop the questions beyond minimum competence level. End of chapter review exercises bring together the work of the chapter. Reminder notes in the exercises act as a quick revision aid for students. Calculator and non-calculator questions are included.
Contents:
Part 1 Matrices: basic properties and operations on matrices
- algebraic properties of matrices
- matrix multiplication
- the determinant of a 2x2 matrix
- the inverse of a 2x2 matrix
- the determinant of a 3x3 matrix
- the inverse of a 3x3 matrix
- transformation matrices
- composition of transformations
- review
Part 2 Vectors: reminders and definitions (right- and left-handed systems)
- direction ratios and direction cosines
- the vector product
- component form of the vector product
- the scalar triple product (component form)
- the equation of a plane
- the angle between two planes
- the distance between parallel planes
- coplanar vectors
- the vector equation of a plane
- the equations of a line
- the vector equation of a line
- the angle between a line and a plane
- the intersection of two lines
- the intersection of two planes
- the distance from a point to a plane
- the distance from a point to a line
- the intersection of three planes
- review.
Brief Description:
This is a series of five books each covering a separate unit of the Advanced Higher course. This unit structure gives you the flexibility to put together a complete course or to offer separate units of study.
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