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Find direction numbers for the line of intersection of the planes $ x + y + z = 1 $ and $ x + z = 0 $.
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01:14
Wen Zheng
03:18
Chris Trentman
02:30
Sriparna Bhattacharjee
Calculus 3
Chapter 12
Vectors and the Geometry of Space
Section 5
Equations of Lines and Planes
Vectors
Missouri State University
Oregon State University
Harvey Mudd College
University of Michigan - Ann Arbor
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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no. Well we have a question and then we need to find direction numbers of the lineup in protection of the plains. So planes are being given the exploits of why I said equal to one and second is explains that equal to zero. So direction number or direction issue of this is like I let's say place K As coefficient of X is one one and one. And direction the issue of this is one. Place uh coefficient of X is one. So simply I less there is no J because term of Y is not here to simply okay required number of line of intersections of plans Will be equal to cross product of these two. I place mhm Place care that is a gap. Mhm into I bless K. We'll just find out cross products. This is I the K coefficient at 111 101. Okay so this is I. and one into 1 is 1 0 and 20 minus J. Because we'll go like plus minus plus minority and one and 2 one is 1 -1 into one is 1 plus cake up zero into 10 -1. So this is I kept brand zero minus taken. I kept mindscape cups for direction numbers will be one 00:00 -1 because the school building has one into a Plus zero in 2 K Plus -1 into K. Camp Sure one is here zero is here and -1 is here. This will be the required direction number. Thank you
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