Understanding 3D Coordinate Planes

The video tutorial explains the three coordinate planes in a 3D coordinate system, known as R3. It covers the YZ plane, which includes the Y and Z axes and has an equation of x=0. The XY plane includes the X and Y axes with an equation of z=0. Lastly, the XZ plane includes the X and Z axes with an equation of y=0. Each section details the characteristics and equations of these planes.

What is the 3D coordinate system commonly referred to as?

• R5

• R4

• R3

• R2

Which axes does the YZ plane contain?

• X and Z

• None of the above

• Y and Z

• X and Y

What must be the value of the x-coordinate for a point to lie on the YZ plane?

• One

• Negative

• Zero

• Any real number

Which plane is defined by the equation z = 0?

• YZ plane

• XZ plane

• XY plane

• None of the above

For a point to be on the XY plane, what must be the value of the z-coordinate?

• Zero

• One

• Negative

• Any real number

Which axes are included in the XZ plane?

• Y and Z

• None of the above

• X and Y

• X and Z

What is the equation of the XZ plane?

• None of the above

• y = 0

• z = 0

• x = 0