In the virtual world, the user's location is given by (-7, -9, 6) units. What will be the updated location of the user if he moves through a distance of 9 units on the Y-axis and 3... In the virtual world, the user's location is given by (-7, -9, 6) units. What will be the updated location of the user if he moves through a distance of 9 units on the Y-axis and 3 units on the Z-axis?
Understand the Problem
The question is asking for the new coordinates of a user after moving 9 units up on the Y-axis and 3 units down on the Z-axis from an initial position of (-7, -9, 6). We need to compute the updated Y and Z coordinates accordingly.
Answer
$(-7, 0, 3)$
Answer for screen readers
The new coordinates of the user are $(-7, 0, 3)$.
Steps to Solve
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Identify Initial Coordinates The initial coordinates of the user are given as $(-7, -9, 6)$.
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Calculate New Y Coordinate The user moves 9 units up on the Y-axis. So, we need to add 9 to the Y coordinate: [ \text{New } Y = -9 + 9 = 0 ]
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Calculate New Z Coordinate The user moves 3 units down on the Z-axis, which means we need to subtract 3 from the Z coordinate: [ \text{New } Z = 6 - 3 = 3 ]
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Combine Updated Coordinates Now, we combine the unchanged X coordinate with the new Y and Z coordinates: The updated coordinates are: [ (-7, 0, 3) ]
The new coordinates of the user are $(-7, 0, 3)$.
More Information
The user’s position changes based on vertical (Y-axis) and depth (Z-axis) movements. In this case, since the X coordinate remains unchanged at -7, we only adjust Y and Z accordingly.
Tips
- Forgetting to distinguish between moving up (adding) and down (subtracting) on the Y and Z axes can lead to incorrect coordinates.
- Mixing up the axes and altering the wrong coordinate.
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