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Resources tagged with Vector algebra similar to Complex Rotations:

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Broad Topics > Vectors and Matrices > Vector algebra Three by One

Age 16 to 18 Challenge Level:

There are many different methods to solve this geometrical problem - how many can you find? Tetra Perp

Age 16 to 18 Challenge Level:

Show that the edges AD and BC of a tetrahedron ABCD are mutually perpendicular when: AB²+CD² = AC²+BD². Quaternions and Rotations

Age 16 to 18 Challenge Level:

Find out how the quaternion function G(v) = qvq^-1 gives a simple algebraic method for working with rotations in 3-space. 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. Age 16 to 18 Challenge Level:

A quadrilateral changes shape with the edge lengths constant. Show the scalar product of the diagonals is constant. If the diagonals are perpendicular in one position are they always perpendicular?  