In this problem to move “forward” or “backwards” is to move in the direction of positive \(x\) (the \(x\)-coordinate increases, the \(y\) and \(z\) remain the same) or negative \(x\) (the \(x\)-coordinate decreases, the \(y\) and \(z\) remain the same), respectively; “to the right” or “to the left” is moving in the positive or negative \(y\) direction, respectively; “up” or “down” is moving in the positive or negative \(z\) direction, respectively:
Find the coordinates of the point \(A\) where one ends if one starts at point \((1,2,3)\) and moves 5 units forward, 4 units to the left, and 2 units up.
Draw the point \(A\) (that is, your answer to (a)) on a set of three-dimensional axes and include the line segments that show that coordinate’s points as a set of directions from the origin (like in Figure 9.1.10 with the “Show Segments” option).
Find the coordinates of the point \(B\) where one ends if one starts at point \((3,-4,2)\) and moves 4 units backwards, 4 units to the right, and 4 units down.
Draw the point \(B\) (that is, your answer to (c)) on a set of three-dimensional axes and include the line segments that show that coordinate’s points as a set of directions from the origin (like in Figure 9.1.10 with the “Show Segments” option).
