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Vectors: magnitude, direction and products

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Vector notation, opposites and unit directions

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Source roles from pages 2–3: directed a and its scalar length; a and −a on equal grids; a nonzero a and its unit direction; position OA relative to origin and displacement AB between two points. Illustrations are schematic, with no added numerical conditions.
Source roles from pages 2–3: directed a and its scalar length; a and −a on equal grids; a nonzero a and its unit direction; position OA relative to origin and displacement AB between two points. Illustrations are schematic, with no added numerical conditions.
Source roles from pages 2–3: directed a and its scalar length; a and −a on equal grids; a nonzero a and its unit direction; position OA relative to origin and displacement AB between two points. Illustrations are schematic, with no added numerical conditions.
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Equal free vectors at different locations

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Three arrows a,b,c have identical displacement of two grid intervals right and one up, at different initial points. Their equal lengths and directions make them equal free vectors.
Three arrows a,b,c have identical displacement of two grid intervals right and one up, at different initial points. Their equal lengths and directions make them equal free vectors.
Three arrows a,b,c have identical displacement of two grid intervals right and one up, at different initial points. Their equal lengths and directions make them equal free vectors.
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