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There are 2 NRICH Mathematical resources connected to Vector equations of plane, you may find related items under Vectors and Matrices.

Broad Topics > Vectors and Matrices > Vector equations of plane

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Quaternions and Reflections

Age 16 to 18 Challenge Level:

See how 4 dimensional quaternions involve vectors in 3-space and how the quaternion function F(v) = nvn gives a simple algebraic method of working with reflections in planes in 3-space.

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Walls

Age 16 to 18 Challenge Level:

Plane 1 contains points A, B and C and plane 2 contains points A and B. Find all the points on plane 2 such that the two planes are perpendicular.