What is the distance of point (8, 3, 2) from the yz-plane?
Answer and explanation
Correct answer: 8 units
The equation of the yz-plane is x = 0. Therefore, the distance of a point (x, y, z) from the yz-plane is the absolute value of its x-coordinate, |x|. For (8, 3, 2), the distance is |8| = 8 units. The value 3 is the y-coordinate, so it gives the distance from the xz-plane, not the yz-plane. Exam tip: for the yz-plane, always use the x-coordinate.
Frequently asked questions
What is the correct answer to this question?
8 units
Why is this the correct answer?
The equation of the yz-plane is x = 0. Therefore, the distance of a point (x, y, z) from the yz-plane is the absolute value of its x-coordinate, |x|. For (8, 3, 2), the distance is |8| = 8 units. The value 3 is the y-coordinate, so it gives the distance from the xz-plane, not the yz-plane. Exam tip: for the yz-plane, always use the x-coordinate.
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Introduction to Three-Dimensional Geometry. Topic: Coordinate axes and coordinate planes in three dimensions.
