Orthogonality in space

An infinite number of straight lines can be laid through a point in space, which intersect at this point - pay people to do your homework . The set of all straight lines in space that have one and only one point in common forms a tuft of straight lines. The point common to all straight lines is called the support of the tuft of straight lines.

Two straight lines of space that intersect each other lie in a plane. If they do so at a right angle, they are orthogonal to each other.
Two straight lines of space that do not intersect each other either lie in a plane and are parallel to each other, or they do not lie in a plane and are called skew.
If g and h are skew lines, a parallel p to h can be drawn through every point P of g. The angle between the parallels and g is the same. The angle between the parallels and g is called the angle between the skew lines g and h. By drawing parallels q to g through all points of h, an angle of the same size is created.

Two skew straight lines are orthogonal (perpendicular) to each other if the angle between them is a right angle. The two parallel planes created above are themselves parallel to each other, their distance a is also that of the skew straight lines g and h. Two non-parallel planes have at most one straight line in common - https://domyhomework.club/math-problem-solver/ . The set of all planes that pass through a straight line forms a plane tuft. The straight line is called the support of the plane tuft. By rotating around the support, any plane of a tuft can be mapped to any other plane of the same tuft. The angle by which it must be rotated is called the angle between the planes.

Two planes (of a tuft) are orthogonal to each other (are perpendicular to each other) if the angle between the planes is a right angle - project management homework help . A straight line g lies entirely in a plane if it has two points in common with the plane. It intersects the plane if it has exactly one point in common with it. The straight line is perpendicular to a plane if it is perpendicular to at least two different straight lines of the plane that it intersects.

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