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How many feet is in one football field?
One football field is 300 yards from goal line to goal line. 1 yard = 3 feet. If you are wanting to know how many feet are from goal line to goal line, it would be 300 feet. The end-zones are another 10 yards each. This adds another 60 total feet. If you are asking from goal post to goal post it would be 360 feet.
How long would it take to mow a football field from goal line to goal line using a lawn mower that mows a 20 inch strip and moves at a constant rate of 3 feet per second?
It depends entirely on the size of the field !
Given two points A and B in the three dimensional space what is the set of points equidistant from A and B?
A plane is the set of all points in 3-D space equidistant from two points, A and B. If it will help to see it, the set of all points in a plane that are equidistant from points A and B in the plane will be a line. Extend that thinking off the plane and you'll have another plane perpendicular to the original plane, the one with A and B in it. And the question specified that A and B were in 3-D space. Another way to look at is to look at a line segment between A and B. Find the midpoint of that line segment, and then draw a plane perpendicular to the line segment, specifying that that plane also includes the midpoint of the line segment AB. Same thing. The set of all points that make up that plane will be equidistant from A and B. At the risk of running it into the ground, given a line segment AB, if the line segment is bisected by a plane perpendicular to the line segment, it (the plane) will contain the set of all points equidistant from A and B.
When does a plane and line intersect at one point?
When the line is inclined to the plane. That is, it is not in the plane nor is it parallel to it.
How many points are you a intersection of a line and a plane?
There are two possible answers; if the line is crossing the plane at an angle, then the line and the plane only intersect at one point. However, if the line is part of the plane, then the entire line intersects with the plane, and there are an infinite number of intersecting points.
