1. a. How do you add two vectors a and b geometrically? Illustrate using the two diagrams. (Hint: Apply two different laws.) A b O B b b. How do you add two vectors a and b algebraically? 2. a. How do you find the area of the parallelogram determined by a and b? b. How do you find the volume of the parallelepiped determined by a, b, c? 3. Find two unit vectors that are orthogonal to both j +2k and i -2j + 3k.4. Find the parametric equation of the line through {1, t], -2) and parallel to the line rapt4): V20022+2 5. Find the equation of the plane through (3, 1, 2}, (4, D, 2), and {5, 3, 1)