Give a geometric description of the following set of points. 2 x +v- +zz -10x+ 16y-6z + 73 = 0 . . . Select the correct choice below and fill in the answer boxes within your choice. (Simplify your answers.) O A. A ball centered at with radius O B. The exterior of a ball centered at with radius O C. A sphere centered at with radiusWhich point is farther from the origin, (3,1,4) or (0,0, - 2)? Select the correct answer below. The point (3,1,4) is units from the origin and is :l the point (0,0, - 2), which is :l units from the origin. (Simplify your answers. Type exact answers, using farther from the origin than the same distance from the origin as closer to the origin than Explain how to plot the point (3, - 2,1) in R 3. . . . Starting at (0,0,0), move 3 units in the to (3,0,0), - 2 units in the to (3, - 2,0), and 1 unit in the to reach (3, - 2, 1). y-direction x-direction z-directionRefer the figure to the right and carry out the following vector operation. Write the vector OJ as a sum of scalar multiples of u and v. . . . OJ =]\fThe water in a river moves south at 2 km/ hr. A motorboat is traveling due east at a speed of 47 km/ hr relative to the water, determine the speed of the boat relative to the shore. Let w represent the current; this means that |w| is the speed of the moving water and w points in the direction of the moving water. Assume that the vector vw gives the direction and speed of the boat relative the water, and the vector vg gives the direction and speed of the boat relative to the shore. Place the vectors in a coordinate system. Choose the correct diagram below. v N N N N W+F W+F W+E \"+1: S S s 3 VW VW w Vg Vw W V v : w : g E w Vg Vw The speed of the boat relative to shore is approximately km/ hr. (Round to the nearest tenth as needed.) \fFind the coordinates of the vertices A, B, and C of the following rectangular box. The blue point in the figure is the point (2,3,5). B A The coordinates of point A are() (Simplify your answers.)