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Are A linear equation determines a line in the xy-plane?
Yes, the world "linear" and "line" have the same root.
What determines a line?
Two points determines a line
What determines whether a pendulum swings in a plane or describes a three-dimensional path?
A pendulum on a knife edge bearing may swing back and forth in a plane (relative to the Earth). A pendulum suspended from aneedle bearingmay swing in elliptical fashion on the surface of a sphere.For the movement to stay parallel to a plane which is fixed relative to the stars, the pendulum must have a needle bearing but no initial momentum perpendicular to that plane. However, the origin of that plane will follow the daily and yearly movements of its location on the Earth. Relative to the Earth, such a pendulum's path will appear to rotate once around every sidereal day (23 hours, 56 minutes, 4 seconds).
Ride a plane or ride in a plane?
ride in a plane. you would fly a plane
Does a square have a plane of symmetry?
No. A square is a plane figure and conventionally for plane figures symmetry is considered in terms of rotation about a point or an axis (in the plane of the figure) but not a plane outside the plane of the square.
