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Mathcentre
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Cartesian components of vectors
This resource from Mathcentre explores vectors in two and three-dimensions, how to calculate the length of a position vector and the angle between a position vector and an x axis. After reading through the text and completed the exercise questions, students should be able to:
- coordinate unit vectors in two dimensions and in three dimensions
- determine whether a set of coordinate axes in three dimensions is labelled as a right-handed system
- express the position vector of a point in terms of the coordinate unit vectors, and as a column vector
- calculate the length of a position vector, and the angle between a position vector and a coordinate axis
- write down a unit vector in the same direction as a given position vector
- express a vector between two points in terms of the coordinate unit vectors
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Cartesian components of vectors 206.93 KB
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Cartesian components of vectors 206.93 KB
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