Problem 9
Question
Find the coordinates of the point. The point is located on the \(x\) -axis, 10 units in front of the \(y z\) -plane.
Step-by-Step Solution
Verified Answer
Therefore, the coordinates of the point that is located on the x-axis, 10 units ahead of the yz-plane are (10, 0, 0).
1Step 1: Identifying the position of the point
Since the point is 10 units ahead of the yz-plane and lies on the x-axis, its position with respect to the yz-plane is in the positive x-direction.
2Step 2: Determining the x-coordinate
Because the point is 10 units away from the yz-plane in the positive x-direction, the x-coordinate of this point will be \(x = 10\).
3Step 3: Determining the y and z coordinates
As the point is situated on the x-axis, it does not lie in the direction of the y or z axes; hence, the y and z coordinates of this point will both be 0, giving us \(y = 0\) and \(z = 0\).
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