%3Cp%3EA%20unit%20cube%20is%20hovering%20in%20space.%3C%2Fp%3E%0A%3Cp%3E%3Cbr%20
ID: 2827667 • Letter: #
Question
%3Cp%3EA%20unit%20cube%20is%20hovering%20in%20space.%3C%2Fp%3E%0A%3Cp%3E%3Cbr%20%2F%3E%3C%2Fp%3E%0A%3Cp%3Ea)%20Prove%20that%20the%20area%20of%20its%20orthogonal%20projection%0Aonto%20%3C%2Fp%3E%0A%3Cp%3Ethe%20xy-plane%20is%20always%20equal%20to%20the%20length%20of%20its%20orthogonal%0Aprojection%20onto%20the%20z-axis.%3C%2Fp%3E%0A%3Cp%3E%3Cimg%20class%3D%22user-upload%22%20src%3D%0A%22http%3A%2F%2Fmedia.cheggcdn.com%2Fmedia%252Fbe7%252Fbe7eb2de-abbf-45eb-a7ed-6201544eaf7b%252FphpBsTNeA.png%22%0Aheight%3D%22298%22%20width%3D%22328%22%20%2F%3E%3C%2Fp%3E%0A%3Cp%3EHints%3A%20Express%20the%20area%20and%20length%20in%20question%20in%20terms%20of%20the%0Avectors%20u%20%3D%20(u1%3B%20u2%3B%20u3)%2C%3C%2Fp%3E%0A%3Cp%3Ev%20%3D%20(v1%3B%20v2%3B%20v3)%2C%20w%20%3D%20(w1%3Bw2%3Bw3).%202.%20Note%20that%20because%20we%20are%0Adealing%20with%20a%20unit%20cube%3C%2Fp%3E%0A%3Cp%3Ew%20%3D%20u%20X%20v%2C%20v%20%3D%20w%20X%20u%20and%20u%20%3D%20v%20X%20w.%3C%2Fp%3E%0A%3Cp%3E%3Cbr%20%2F%3E%3C%2Fp%3E%0A%3Cp%3Eb)%20Consider%20all%20orthogonal%20projections%20of%20the%20unit%20cube%20onto%20the%0Axy-plane.%20What%20is%20the%20shape%3C%2Fp%3E%0A%3Cp%3Eand%20area%20of%20the%20projection%20of%20maximum%20area%20and%20what%20is%20the%20shape%0Aand%20area%20of%20the%20projection%3C%2Fp%3E%0A%3Cp%3Eof%20minimum%20area%3F%3C%2Fp%3E%0A%3Cp%3E%3Cbr%20%2F%3E%3C%2Fp%3E%0A%3Cp%3Ec)%20If%20you%20replace%20our%20unit%20cube%20by%20a%20cube%20of%20side%20length%20a%2C%20what%0Ais%20the%20relationship%20between%20the%3C%2Fp%3E%0A%3Cp%3Earea%20of%20its%20orthogonal%20projection%20onto%20the%20xy-plane%20and%20the%0Alength%20of%20its%20orthogonal%20projection%3C%2Fp%3E%0A%3Cp%3Eonto%20the%20z-axis%3C%2Fp%3E%0AExplanation / Answer
where is the question???
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.