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Find parametric equations and symmetric equations for the line.

The line through the points $ (0, \frac{1}{2}, 1) $ and $ (2, 1, -3) $

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01:23

Wen Zheng

Calculus 3

Chapter 12

Vectors and the Geometry of Space

Section 5

Equations of Lines and Planes

Vectors

Johns Hopkins University

Campbell University

University of Michigan - Ann Arbor

Idaho State University

Lectures

02:56

In mathematics, a vector (from the Latin word "vehere" meaning "to carry") is a geometric entity that has magnitude (or length) and direction. Vectors can be added to other vectors according to vector algebra. Vectors play an important role in physics, engineering, and mathematics.

11:08

In mathematics, a vector (from the Latin word "vehere" which means "to carry") is a geometric object that has a magnitude (or length) and direction. A vector can be thought of as an arrow in Euclidean space, drawn from the origin of the space to a point, and denoted by a letter. The magnitude of the vector is the distance from the origin to the point, and the direction is the angle between the direction of the vector and the axis, measured counterclockwise.

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Find parametric equations …

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So again we want to find the equation parametric and symmetric that process to the 0.0 half, one and 2. -3. And your Kodak again, this is my let's say. So this is what I fixed. And then we need to find B. This is just a difference or to zero one minus half -3 -1. Just to of management. So for the symmetric equation This is a 6 -0/2 is equal to one minus half over half Is G -1 over-. And then to find the parametric equation, I just equated to T. And then I just excess to T. Why equals to have deep plus half and G equals two minus 40 plus one. That's it.

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