Normal Vector To A Line
What Is the Vector Equation of a Line?
The vector equation of a line is r = a + tb. In this equation, "a" represents the vector position of some point that lies on the line, "b" represents a vector that gives the direction of the line, "r" represents the vector of whatsoever general point on the line and "t" represents how much of "b" is needed to get from "a" to the position vector.
Vectors provide a elementary style to write downwardly an equation to determine the position vector of whatever point on a given direct line. In gild to write down the vector equation of any straight line, 2 known values must be nowadays.
If the position vector of a specific signal that lies on the line and a vector that gives the direction of the line, called a direction vector, are both nowadays, then the position vector referred to equally "r" of whatsoever general point P on the line is given past the equation: r = a + tb.
For example, suppose that Line A has the equation r = i + 3k + t(2i + j + thousand), and so that line A is i + 3k and line B is 2i + j + chiliad. Unlike values of "t" provide vectors at different points on the line:
Putting t = 0 gives r = i + 3k.
Putting t = 1 gives r = 3i + j + 4k.
Putting t = -1 gives r = -i – j + 2k.
Normal Vector To A Line,
Source: https://www.reference.com/world-view/vector-equation-line-de066b7d5555cbbf?utm_content=params%3Ao%3D740005%26ad%3DdirN%26qo%3DserpIndex&ueid=1d3dd05d-541e-4ddc-89f5-2c9e4cafca89
Posted by: overturffrect1967.blogspot.com
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