Which of the following points lie on XZ plane?
Which of the following points lie on XZ plane?
The correct option is B (1,0,1)
We saw that to uniquely determine the position of a point in space, we use three mutually perpendicular axes, x, y and z. When we mark/plot these axes with a given origin, they divide the three dimensional plane into 8 octants. We discussed these in the video.
In this process, using the help of x and y coordinate we get a plane. We call it XY plane, which is marked in the above diagram. As you can see, any point on this plane will have z-coordinate equal to zero.(z-coordinate of a point will be +− perpendicular distance from XY plane, for a point on XY plane, perpendicular distance from XY plane will be zero). Same thing is applicable for XZ and YZ planes
So, to find points on XZ plane, we check for points , whose Y-coordinate is zero. Only (1,0,1) has Y-coordinate equal to zero.
⇒ Answer = (1,0,1)
(1,0,1)
We saw that to uniquely determine the position of a point in space, we use three mutually perpendicular axes, x, y and z. When we mark/plot these axes with a given origin, they divide the three dimensional plane into 8 octants. We discussed these in the video.
In this process, using the help of x and y coordinate we get a plane. We call it XY plane, which is marked in the above diagram. As you can see, any point on this plane will have z-coordinate equal to zero.(z-coordinate of a point will be +− perpendicular distance from XY plane, for a point on XY plane, perpendicular distance from XY plane will be zero). Same thing is applicable for XZ and YZ planes
So, to find points on XZ plane, we check for points , whose Y-coordinate is zero. Only (1,0,1) has Y-coordinate equal to zero.
⇒ Answer = (1,0,1)
