Find r(t). u(t). r(t) = (8t − 8)i + 1⁄t³j + 3k - 3 u(t) = t²i − 6j + t³k r(t) · u(t) = Is the result a vector-valued function? Explain. O Yes, the dot product is a vector-valued function. 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
Problem 1RQ
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Find r(t) u(t).
r(t) = (8t − 8)i +
u(t) = t²i − 6j + t³k
r(t) · u(t):
33
³j + 3k
=
Is the result a vector-valued function? Explain.
Yes, the dot product is a vector-valued function.
O No, the dot product is a scalar-valued function.
Transcribed Image Text:Find r(t) u(t). r(t) = (8t − 8)i + u(t) = t²i − 6j + t³k r(t) · u(t): 33 ³j + 3k = Is the result a vector-valued function? Explain. Yes, the dot product is a vector-valued function. O No, the dot product is a scalar-valued function.
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