Consider the point. (3, 4, 5) (a) What is the projection of the point on the xy-plane? (b) What is the projection of the point on the yz-plane? (c) What is the projection of the point on the xz-plane? (d) Draw a rectangular box with the origin and (3, 4, 5) as opposite vertices and with its faces parallel to the coordinate planes. Label all vertices of the box. (Do this on paper. Your instructor may ask you to turn in this work.) Find the length of the diagonal of the boxFind the distance from the given point to each of the following. (5, 7, -5) (a) the xy-plane (b) the yz-plane (c) the xz-plane (d) the x-axis (e) the y-axis (f) the z-axisUse the given information to answer the following questions. center (1, -12, 8), radius 10 (a) Find an equation of the sphere with the given center and radius. (b) What is the intersection of this sphere with the yz-plane? (c) What is the intersection of this sphere with the xy-plane? 12=0Find the work done by a force that moves an object from the point t (0, 8, 6) to the point (4, ] , 12, 18) along a straight line. The distance is measured in meters and the force in newtons. J