1. A space curve has the parametrization r ( t ) = %u27E8 sin t cos t, sin 2 t,

Question

1. A space curve has the parametrization r(t) = %u27E8sin t cos t, sin2 t, cos t%u27E9 where 0 %u2264 t %u2264 2%u03C0.

(a) Calculate |r(t)|. Simplify your answer as much as possible.

(b) This space curve lies on the intersection of 3 different quadratic surfaces. Using the fact that r(t) = %u27E8x, y, z%u27E9 in R3, give the equation of one of the three quadratic surfaces. Write the equation in standard form.

(c) Calculate r%u2032(t) and prove that r(t) and r%u2032(t) are orthogonal.

(d) Why are r(t) and r%u2032(t) orthogonal?

Explanation / Answer

can u plzz write down the function r(t) ... its not clear .. chegg displays some random variables here !!!!! or mail the function at rohit154kumar@gmail.com

Related Questions

Navigate

• Browse (All)
• Browse 1
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.