Calc III Midterm 1 Solutions. March 2019. 1. (a) Compute ||u||, ||v||, and u · v, where u = −i + j + k, v = i − j + k ∈ R3. Solution. ||u|| = p. 12 + 12 + 12 ...

Calculus III: Practice Midterm I. Name: • Write your solutions in the space provided. Continue on the back if you need more space. • You must show your work ...

MATH 222(Calculus III) Mid-Term Test. This is a mock (i.e., practice) exam! 1. Test the following series for convergence (absolute or conditional) or diver-.

The exam is worth a total of 100 points (each problem is worth. 20 points). Be sure to go on to subsequent problems even if there is some part you cannot do.

(20 points) Find an equation of the line that contains (−3, −3, 1) and is perpendicular to the plane 2x − 3y + 4z = 7.

TIME ALLOWED: 50 MINUTES. TOTAL MARKS: 100. NO AIDS ALLOWED. WRITE SOLUTIONS ON THE SPACE PROVIDED. PLEASE READ THROUGH THE ENTIRE TEST BEFORE STARTING.

On Studocu you find all the lecture notes, summaries and study guides you need to pass your exams with better grades.

Problem 3. Consider the plane 2x - 3y - z = -7. Let P(7,-2,-1) be a point. (a) Find a parametric equation of the line through P orthogonal to the plane.

Midterm I Study Guide for Calculus III. Vector Algebra: 1. The length of a vector and the relationship to distances between points. 2. Addition, subtraction ...

The exam contains 5 problems. • The last page is the formula sheet, which you may detatch. • Good luck! Question Points Score. 1.