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Recall that a unit tangent vector to a curve in space is a vector tangent to the curve at a given point with a length of
Posted: Wed Apr 27, 2022 6:00 pm
by answerhappygod
- Recall That A Unit Tangent Vector To A Curve In Space Is A Vector Tangent To The Curve At A Given Point With A Length Of 1 (51.76 KiB) Viewed 32 times
- Recall That A Unit Tangent Vector To A Curve In Space Is A Vector Tangent To The Curve At A Given Point With A Length Of 2 (51.76 KiB) Viewed 32 times
Recall that a unit tangent vector to a curve in space is a vector tangent to the curve at a given point with a length of one. Recall the steps for finding a unit tangent vector and note the similarities with doing it in MATLAB: 1. Differentiate the function r=[f(t) g(t) h(t)] (where f, g, and h are anonymous functions) 2. Substitute the given value of t into the derivative to find a tangent vector (using the subs command) 3. Multiply the resulting vector by 1/magnitude to get a unit vector (using the norm command). NOTE that - 1 your answer is ALSO a unit tangent vector (just in the opposite direction). Using the steps above, find a unit tangent vector to the curve r = (cos^3(t), sin^3( t), cos(2 t)) at the point where t = pi/4.