1. Find the distance from (3, - 7, 5) to each of the following: (a) to xy-plane is (b) to z-axis is (c) to origin is (d) to y = - 2 is (#2--#6) Using vectors u = and v = i + 2j - 3k to find: 2. 3u - 20= 3. the magnitude |3u-2v| = 4. the unit vector of 3u - 2v 5. the dot product of u and v, 6. the cross product of u and v. 7. If u = i+ pj - k and v = are two vectors in 3-dimensional space and orthogonal, then p could be which number? 8. Find the domain of r(t) = . 9. Find lim , 0 , 0 and r(0) = . 15. Find the parametric equations for the line through (1, 2, 3) that is perpendicular to both vectors u = and v =