Scientific examinations
A direction is not a distance
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VISUAL EXAMINATION / LESSON OPENING
A direction is not a distance
The question is retained before an explanation is adopted.
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Mathematical constructions. A 4D hypercube is projected onto this flat page. [34,36]
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OBSERVATION TO BE CONSIDERED
The location of a point on a line requires one coordinate. Two independent coordinates locate a point on a plane.
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QUESTION TO BE CARRIED FORWARD
What changes when a new coordinate is introduced? What remains unchanged when an existing axis is merely extended?
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More length has been requested. Another dimension has not been supplied.
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2D / PLANE 3D / SOLID 4D / HYPERCUBE
x
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y
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90 degrees
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2 numbers: x, y 3 numbers: x, y, z 4 numbers: x, y, z, w