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In a 4 dimensional space what is the orthogonal complement of a line?
Wiki User
∙ 13y ago
In a 4 dimmensional space the orhtogonal complement of a line is a hyperplane.
Wiki User
∙ 13y ago
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Orthogonal lines are diagonal in linear perspective but parallel in the real world true or false?
What is an orthogonal line?
What do all one dimensional and two dimensional objects lie in?
They could need three dimensional space. Although points are 1-dimensional objects, it is easy to have four points that need 3-d space: for example the vertices of a tetrahedron (triangular pyramid). Similarly, skew line will need 3-d space.
What is straight line?
A straight line is a shape defined by a set of two or more adjacent points all within the same one-dimensional space.
Can two planes in three dimensional space intersect at one point?
No, the two planes intersect at a line, which is an infinite number of points.
What is a one dimensional and have infinite length?
a ray and a line
How do you show space in an artwork?
* Linear Perspective * Horizon Line * Vanishing Point * Orthogonal * Horizontal * Vertical
How many sides does a line have?
A line does not in itself have any sides. One could however say that if you had to choose which side of a line to be on, then there are multiple answers:If the line is in one dimensional space, then it encompasses everything and you have zero sides to choose from.If the line is in two dimensional space, then you can be on one of two sides of that line.If the line is in three dimensional space, then there are an infinite number of sides to choose from.
How do you write an equation of the line?
The general form of an equation, in n dimensional space, is y = a0 + a1x1 + a2x2 + ... + anxn where the ai are constants, and the xi are orthogonal unit vectors. In 2 dimensions, this reduces to y = a0 +a1x1 which can be rewritten as y = mx + c
A line that leads to the vanishing point?
orthogonal line
Orthogonal lines are diagonal in linear perspective but parallel in the real world true or false?
What is an orthogonal line?
What is a 3d shape with 0 faces?
A curved line in 3-dimensional space.
Can two planes in three-dimensional space intersect at one point?
No, they intersect at a line.
What is a line that leads to the vanishing point?
infinity a guide line
How many non coplanar line determine a space?
3 non-coplanar (pairwise) lines for 3 dimensional space.
What do all one dimensional and two dimensional objects lie in?
They could need three dimensional space. Although points are 1-dimensional objects, it is easy to have four points that need 3-d space: for example the vertices of a tetrahedron (triangular pyramid). Similarly, skew line will need 3-d space.
What line is intersecting that form right angles?
perpendicular or orthogonal
What three things are represented by a plane?
A plane is the two-dimensional analogue of a point (zero dimensions), a line (one dimension) and three-dimensional space.
