Show, using the rules of cross products and differentiation, that d/dt (r(t) x r' (t)) = r(t) × r"(t). Find a vector function for the line tangent to (cost. sint, cos(6t) ) when t = π/7.
Show, using the rules of cross products and differentiation, that d/dt (r(t) x r' (t)) = r(t) × r"(t). Find a vector function for the line tangent to (cost. sint, cos(6t) ) when t = π/7.
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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![Show, using the rules of cross products and differentiation, that
d/dt (r(t) x r' (t)) = r(t) x r"(t).
Find a vector function for the line tangent to (cost, sint, cos(6t) ) when t = π/7.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc97359c2-30fe-4e20-9812-723e6832b4fb%2Ffcddb3c9-b127-4583-b7ed-a93050463d9f%2Fv8t1a4_processed.png&w=3840&q=75)
Transcribed Image Text:Show, using the rules of cross products and differentiation, that
d/dt (r(t) x r' (t)) = r(t) x r"(t).
Find a vector function for the line tangent to (cost, sint, cos(6t) ) when t = π/7.
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