Understanding Distances to Coordinate Planes

The video tutorial explains how to calculate the distance from a point in 3D space to the XZ, XY, and YZ planes. It demonstrates the process by analyzing the relevant coordinate for each plane and visualizing the point's position in space. The tutorial provides examples for each plane, showing how to determine the distance using the coordinate that must be zero on the respective plane.

What is the equation of the XZ plane?

• y = 0

• x = 0

• x + y = 0

• z = 0

If a point has a y-coordinate of -4, how far is it from the XZ plane?

• 5 units

• 4 units

• 3 units

• 2 units

In the graphical representation, which direction do you move for a positive x-coordinate?

• Left

• Right

• Up

• Down

What is the equation of the XY plane?

• y = 0

• x = 0

• x + z = 0

• z = 0

If a point has a z-coordinate of -3, how far is it from the XY plane?

• 3 units

• 1 unit

• 4 units

• 2 units

In the graphical representation, which direction do you move for a negative z-coordinate?

• Down

• Up

• Left

• Right

What is the equation of the YZ plane?

• x = 0

• y + z = 0

• y = 0

• z = 0

If a point has an x-coordinate of 2, how far is it from the YZ plane?

• 3 units

• 2 units

• 1 unit

• 4 units

In the graphical representation, which direction do you move for a negative y-coordinate?

• Right

• Left

• Down

• Up

Which coordinate is analyzed to find the distance from a point to the YZ plane?

• None of the above

• y-coordinate

• x-coordinate

• z-coordinate