Problem 8
Question
Find the coordinates of the point. The point is located seven units in front of the \(y z\) -plane, two units to the left of the \(x z\) -plane, and one unit below the \(x y\) -plane.
Step-by-Step Solution
Verified Answer
The coordinates of the point are (7, -2, -1)
1Step 1: Identify the X-coordinate
Since the point is seven units 'in front' of the \(y z\)-plane, meaning it is located to the positive direction of the x-axis, the X-coordinate is 7.
2Step 2: Identify the Y-coordinate
The point is two units 'left' of the \(x z\)-plane. Since 'left' implies a negative direction in context of the coordinate system, the Y-coordinate is -2.
3Step 3: Identify the Z-coordinate
The point is one unit 'below' the \(x y\)-plane, which can be interpreted as moving in the negative Z direction. Therefore, the Z-coordinate is -1.
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