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1. Use the following points to answer the following questions. A(-4, 0, -7), B(2, 4, -9), C(1, 3, 8) Which of the points is closest

1. Use the following points to answer the following questions. A(-4, 0, -7), B(2, 4, -9), C(1, 3, 8) Which of the points is closest to the yz-plane? Which point lies in the xz-plane?

2. Suppose you start at the origin, move along the x-axis a distance of 3 units in the positive direction, and then move downward a distance of 7 units. What are the coordinates of your position?

3. Consider the point (3, 5, 6). What is the projection of the point on the xy-plane? What is the projection of the point on the yz-plane? The xz-plane? Draw a rectangular box with the origin and (3, 5, 6) as opposite vertices and with its faces parallel to the coordinate planes. Label all vertices of the box, and find the length of the diagonal.

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