Chapter 2 Section 4
\[ \definecolor{ucrblue}{rgb}{0.0627,0.3843,0.6039} \definecolor{ucrgold}{rgb}{0.9686,0.6941,0.2824} \definecolor{ucrred}{rgb}{0.8941,0,0.1686} \definecolor{ucrgreen}{rgb}{0.4706,0.7451,0.1255} \definecolor{ucraccent}{rgb}{1.0000,0.9569,0.8392} \DeclareMathOperator*{\LO}{O} \DeclareMathOperator*{\Lo}{o} \DeclareMathOperator*{\Recip}{Recip} \DeclareMathOperator*{\abs}{abs} \DeclareMathOperator{\pow}{pow} \]
Notes
Linguistic Mapping Exercises
Knowledge Checks
- Take \(V=\langle1,4\rangle.\) Determine \(V_\perp\).
- If \(L\) is the line given by \(y=4x+1,\) write an equation for the line perpendicular to \(L\) that passes through \((3,4).\)
- Take \(L\) to be the line \(y=4x+1.\) Find the point on \(L\) that is closest to the point \((3,4)\).
- Reflect the point \((3,4)\) across the line \(y=4x+1.\)
Remember, do the knowledge checks before checking the solutions.