Chapter 2 Section 6

Notes

Linguistic Mapping Exercises

Knowledge Checks

  1. Calculate \(\left(\frac{3}{5},\frac{4}{5}\right)\star \left(-\frac{\sqrt{2}}{2},\frac{\sqrt{2}}{2}\right).\)
  2. Let \(p=\left(\frac{1}{4},\frac{\sqrt{15}}{4}\right)\) on the unit circle. Let \(q=(1,4)\). Calculate \(R_p(q)\). State the geometric or visual meaning of this answer.
  3. Let \(p=\left(\frac{1}{4},\frac{\sqrt{15}}{4}\right)\) and \(q=\left(-\frac{1}{4},-\frac{\sqrt{15}}{4}\right)\). Find a point \(r\) so that \(p\star r=q\) . State the geometric or visual meaning of this answer.
  4. Rotate the point \((3,1)\) around the point \((1,1)\) by the angle \(a=\left(\frac{1}{3},\frac{\sqrt{8}}{3}\right)\).

Practice Problems

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