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Use intercepts to help sketch the plane.

$ 3x + y + 2z = 6 $

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$3 x+y+2 z=6$

01:35

Wen Zheng

Calculus 3

Chapter 12

Vectors and the Geometry of Space

Section 5

Equations of Lines and Planes

Vectors

Missouri State University

Oregon State 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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Use intercepts to help ske…

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Find all intercepts and sk…

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Find the intercepts and sk…

Yeah, they're asking to use the intercept method to help sketch the plane given by the equation three expressed Y plus two is equal to six. Therefore using intercept method, in the first case you have to consider why and they're intercept to be zero and therefore value of X is equal to two. In the second case we have to consider the intercept value X. And Their to be zero. So the value of y equal to six. And in the 3rd case we have to consider the value of the intercept X. And Y to be zero. So the value of Z intercept will be well too three. Therefore using the intercept method, the point to be plotted or the plane are point A. Is 200, point B is 060 and point C. Is 003. It's not mm. Mhm. So after finding the intercepts in order to sketch the glove for the given equation of the plane, we have use the graph. You sure That the .8200 B060 and 003 are plotted in the X, Y and Z axis respectively. And the points are marked with the red dots and the plane is enclosed in our red triangle. So this is the required sketch of the plane in the given question. Using the intercept method and this is the required answer

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