Andrea Leyden
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This is an outline of the basic concepts of Vectors for GCSE Maths.

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Andrea Leyden
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Vectors
1 An arrow with...
1.1 a.) Direction
1.1.1 Direction symbol

Annotations:

  • \[\overrightarrow{a b} \]
1.1.1.1 Check the note

Annotations:

  • \[\overrightarrow{a b} \]
1.1.2 x and y directions
1.2 b.) Magnitude
1.2.1 Sq. root of (x^2+y^2)
1.2.1.1 2D
1.2.2 Sq. root of (x^2+y^2+z^2)
1.2.2.1 3D
1.2.3 How long it is
2 Writing
2.1 Column Vector
2.1.1 Component form
2.1.1.1 x and y
2.1.1.1.1 2D
2.1.1.2 x, y and z
2.1.1.2.1 3D
2.1.1.3 Parallel Vector

Annotations:

  • Two vectors u and v are parallel if and only if u = kv where k is a constant.
2.1.1.3.1 Line segments have common direction
3 Definition
3.1 A vector is a set of instructions for moving from one point to another in three dimensions.
3.2 A line which has both magnitude and direction can represent this vector.