At the end of lecture 19, Professor Aroux remarks that since F and T are parallel vectors, the dot product is just the length of F. Why is that true?
MIT 18.02 Multivariable Calculus, Fall 2007
Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga.
Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus.
Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
I, believe he said that it is the length of F.
I know now. That is because T is a unit vector. Recall the equation \[dr/dt=T(ds/dt)\]
the left side is velocity, ds/dt is speed or magnitude, and T is unit vector that specifies direction. Since F and T are parallel and T is unit vector (all entries equal to 1), the dot product is F itself.
Hope that helps