Find r(t) · u(t). r(t) = (5t – 3)i +j + + 2k u(t) = t?i – 6j + t³k r(t) · u(t) = Is the result a vector-valued function? Explain. O Yes, the dot product is a vector-valued function. O No, the dot product is a scalar-valued function.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Find r(t) · u(t).
r(t) = (5t – 3)i + t³j + 2k
u(t) = t2i – 6j + t3k
r(t) · u(t) =
Is the result a vector-valued function? Explain.
Yes, the dot product is a vector-valued function.
No, the dot product is a scalar-valued function.
Transcribed Image Text:Find r(t) · u(t). r(t) = (5t – 3)i + t³j + 2k u(t) = t2i – 6j + t3k r(t) · u(t) = Is the result a vector-valued function? Explain. Yes, the dot product is a vector-valued function. No, the dot product is a scalar-valued function.
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