Chapter 2 Section 6

\[ \definecolor{ucrblue}{rgb}{0.0627,0.3843,0.6039} \definecolor{ucrgold}{rgb}{0.9686,0.6941,0.2824} \definecolor{ucrred}{rgb}{0.8941,0,0.1686} \definecolor{ucrgreen}{rgb}{0.4706,0.7451,0.1255} \definecolor{ucraccent}{rgb}{1.0000,0.9569,0.8392} \DeclareMathOperator*{\LO}{O} \DeclareMathOperator*{\Lo}{o} \DeclareMathOperator*{\Recip}{Recip} \DeclareMathOperator*{\abs}{abs} \DeclareMathOperator{\pow}{pow} \]

Notes

• Notes

Linguistic Mapping Exercises

• Linguistic Mapping Exercises PDF

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 \(a=\left(\frac{1}{3},\frac{\sqrt{8}}{3}\right)\).

• Knowledge Checks PDF
• Knowledge Checks Solutions

Remember, do the knowledge checks before checking the solutions.

Practice Problems

• Practice Problems

Return

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