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.
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.
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.
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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