Question: Let r(t) = (3 cos t, 5 sin t, 4 cos t). Show that r(t) is constant and conclude, using Example 7, that r(t) and
Let r(t) = (3 cos t, 5 sin t, 4 cos t). Show that r(t) is constant and conclude, using Example 7, that r(t) and r(t) are orthogonal. Then compute r(t) and verify directly that r' (t) is orthogonal to r(t).
EXAMPLE 7 Orthogonality of r and r' when r Has Constant Length Prove that if r(1) and r' (1) are nonzero and r(t) has constant length, then r(t) is orthogonal to r' (1).
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First let us compute rt rt 9 cost 25 sin t 16 cos t 25cost sin t 25 5 Therefore rt is constant Us... View full answer
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