1. Describe the surface in three-dimensional space given by the equation I'ty'+2' -82=9. (a) A sphere with center (0, 0, 4) and radius 3. (b) A sphere with center (0, 0, -4) and radius 3. (c) A sphere with center (0, 0, 4) and radius 5. (d) A sphere with center (0, 0, -4) and radius 5. (e) None of the other choices. 2. What is the best descriptor of the object in three-dimensional space given by the equation + 2y = 67 (a) A line on the ry-plane. (b) A line that is not contained in the ry-plane. (c) A plane containing the z-axis. (d) A plane parallel to the z-axis. (e) A plane that is not parallel to the z-axis.3. The parallelogram law is an illustration of which concept? (a) Vector addition (b) Scalar addition (c) Vector multiplication (d) Scalar multiplication (e) None of the other choices. 4. Suppose that a vector v in R' has a length of 2, and lies in the 4th quadrant, with initial point at the origin, making an angle of 7/6 with the r-axis. What are the components of v? (a) (1, -V3) (b) (-v3. 1) (c) (-1, v3) (d) (v/3, -1) (e) None of the other choices. 5. Consider the following four objects. (i) The vector (1, 2,3) (ii) i + 2j + 3k (iii) The vector with initial point (1, 1, 1) and terminal point (2, 3,4) (iv) The point (1, 2, 3) Which of the following statements is correct? (a) All four objects are equal. (b) (i) and (ii) are equal, but (iii) and (iv) do not equal (i) or (ii). (c) (i), (ii), and (iii) are equal, but (iv) is different from the others. (d) (i), (ii), and (iv) are equal, but (iii) is different from the others. (e) None of the other choices