Why is the answer (1,0)? [Vector Calculus] | Mathematics | Page 1

tawny yewBOT Sep 4, 2023, 10:11 PM

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slow crane Sep 4, 2023, 11:01 PM

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Hello. First find r'(t) 🤔

lucid horizon Sep 5, 2023, 1:53 AM

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r'(t) = 2at

slow crane Sep 5, 2023, 2:00 AM

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r has 2 components, so does its derivative

lucid horizon Sep 5, 2023, 2:19 AM

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r'1(t) = (2at,1)

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forgot about that

slow crane Sep 5, 2023, 2:24 AM

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Ok great

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Now, if 2 vectors are perpendicular, then
r(t) • r'(t) = 0

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You have these 2 vectors already

lucid horizon Sep 5, 2023, 3:29 AM

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yea so dot product, then put it into quadratic equation to solve for the value of t?

midnight gale Sep 5, 2023, 6:25 AM

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ye

#Why is the answer (1,0)? [Vector Calculus]