Question 1: What would you do to determine if the two vectors are parallel or orthogonal? Do not just pick a choice. You must make a clear and concise statement to support your choice.

U = i + 4j - 2k and V = -3i -12j + 6k

A) Based on a quick inspection , the vectors are parallel B) The best way to find out is to find the angle between the two vectors C) The best way to find out is to find the distance between the two vectors D) The best way to find out is to find the unit vectors of the two vectors

Question 2:

In showing that the second mixed partial derivatives fxy and fyx are equal, find which of the following partial derivative(s) is/are not correct. Correct the error. f(x, y) = sin(x - 2y) fx(x, y) = 2ycos(x - 2y) f xx(x, y) = -sin(x - 2y) f xy(x, y) = 2 sin(x - 2y) fy(x, y) = 2 cos(x - 2y) f yy(x, y) = -4 sin(x - 2y) f yx(x, y) = 2 sin(x - 2y) Does your correction show that f xy(x, y) = f yx(x, y) ?Find the principle unit normal vector to the curve given below at the specified point. 4 TC r(t) = 2cos(t)i+ 2sin(t)j 1 = 3