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Find parametric equations and symmetric equations for the line.

The line through $ (2, 1, 0) $ and perpendicular to both $ i + j $ and $ j + k $

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01:58

Wen Zheng

Calculus 3

Chapter 12

Vectors and the Geometry of Space

Section 5

Equations of Lines and Planes

Vectors

Oregon State University

Baylor University

University of Michigan - Ann Arbor

University of Nottingham

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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Find (a) parametric equati…

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Okay. So what do you want to do is Is find the equation of a line that passes to the point to one direction perpendicular to both high carb plus Jacob and Jacob Jacob. So what we have to do is find the victor, who is, who is this line is normal. And to do that we have to take the cross product of these two lines. So let's do that. Let me call this be and I need to take the correspondent of this guy. So 110 You know 1 1 this is I cap this one minus zero. My name is Jacob times 101,100. And he says again one that's K. Cup times This guy here which is just 1 1 -01. This is one again this is I cab managed Jacob let's kick so this is the victor to freeze. I am normal than to find the parametric equation or the symmetric whatever This is X -2. They've hired by one was equal to 1 -1, divided -1 As we called him and zero divided by one. And then to find a parametric equation I got this guy to T And then I have x equals two plus 2. Why equals two minus t plus one. And g quest repeat this is my parametric equations

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