MATH 1ZA3 Lecture 3: MATH 1ZA3 lecture 3 - Inverse functions

1, (0.6points) Let u-i + 2j + k and v =-2i-j + k. (1) (0.2points) Then find the exact angle between u and v. oCosob 2) (0.2points) Find the scalar component(projection) of u in the direction of v 6 =>는/) (V6) o, 2 (5) (0.4points) Find the vector projection of u onto v. 0r

Let F (x, y, z) = (ex sin y)i + (ex cos y)j + z2k. Evaluate the integral intcF·ds, where c (t) = (roott, t3, eroott), 0 t 1.