Calculus of vector function Show, using the rules of cross products and differentiation, thatd/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.

Answered: Show, using the rules of cross products…

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.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter4: Calculating The Derivative

Section4.CR: Chapter 4 Review

Problem 45CR

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Question

Calculus of vector function

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.

Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.

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