Question

Find the coordinates of the point. The point is located seven units in front of the $yz$ -plane, two units to the left of the $xz$ -plane, and one unit below the $xy$ -plane.

Short answer

The coordinates of the point are (7, -2, -1)

Step-by-step solution

Identify the X-coordinate

Since the point is seven units 'in front' of the $yz$-plane, meaning it is located to the positive direction of the x-axis, the X-coordinate is 7.

Identify the Y-coordinate

The point is two units 'left' of the $xz$-plane. Since 'left' implies a negative direction in context of the coordinate system, the Y-coordinate is -2.

Identify the Z-coordinate

The point is one unit 'below' the $xy$-plane, which can be interpreted as moving in the negative Z direction. Therefore, the Z-coordinate is -1.