2. Which of the following vectors are the same? (a) v = h4, 3i (b) v has initial point: (5, −3) and terminal point: (9, 0) (c) kvk = 5 and v makes an angle of −π/2 with the positive x-axis. (d) kvk = 5 and v makes an angle of tan−1 (3/4) with the positive x-axis. (e) v = h0, −5i 2.1. GEOMETRY AND ALGEBRA OF VECTORS 107 3. Find the components of a vector in the plane that is 4 units long and makes an angle of 4π 3 with the positive x-axis. 4. Normalize the vector h3, 4, 7i. 5. Find a unit vector that points in the same direction as the vector from