?Show that vectors \(\mathbf{a}(t)=\langle\cos t, \sin t\rangle\) and

Chapter 2, Problem 24

(choose chapter or problem)

Show that vectors \(\mathbf{a}(t)=\langle\cos t, \sin t\rangle\) and \(\mathbf{a}(x)=\left\langle x, \sqrt{1-x^{2}}\right\rangle\) are opposite for x = r and \(t=\pi+2 k \pi\), where k is an integer.

Text Transcription:

a(t) = langle cos t, sin t rangle

a(x) = langle x, sqrt 1 - x^2 rangle

t = pi + 2k pi

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