perform a rotation of axes with a suitable angle of rotation (no xy term) and identify...

perform a rotation of axes with a suitable angle of rotation (no xy term) and identify the related conic.

1. x²-xy+y²=2

2. x²-3y²-8x+30y=60

Expert Solution

milcah answered 2 years ago

rather than rotation-reflection axes

It is common to use rotation-inversion axes (rather than rotation-reflection axes) to classify the symmetry of crystals. Any Sn axis is equivalent to a rotation-inversion axis (symbolized by p) whose order p may differ from n. A rotation-inversion operation consists of rotation by 2Ï€/p radians followed by inversion. Show thatThus we have the following correspondence:Give the next three pairs of entries in this table.

Let R and S be two rectangles in the xy-plane whose sides are parallel to the coordinate axes.

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