MATH-3110 Lecture Notes - Lecture 2: Fax, Intelligence Quotient

Use N(t) = [v(t)r"(t) - v'(t)r'(t)] / [||v(t)r"(t) - v'(t)r'(t)||] to find the unit normal vector N9t) of r(t)=<t-sin t, 1-cos t> at t=/2. v(t)=||r'(t)||.

let U.V,W be finite dimensional vector spaces over F , and L:U-V, M:V-W be linear mapping
show

a) r(ML) <= r(M)

b) n(ML) >= n(L)