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Find a vector equation and parametric equations for the line.

The line through the point $ (0, 14, -10) $ and parallel to the line $ x = -1 + 2t $ , $ y = 6 - 3t $ , $ z = 3 + 9t $

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01:56

Wen Zheng

Calculus 3

Chapter 12

Vectors and the Geometry of Space

Section 5

Equations of Lines and Planes

Vectors

Johns Hopkins University

Harvey Mudd College

University of Michigan - Ann Arbor

Boston College

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 a vector equation and…

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Find parametric equations …

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Find (a) parametric equati…

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No I got a problem for again. The problem for is the same thing. It passes to the going to Judo 14 and -10. And again it's parlor too. X equals 2 -1 plus two. T Why equal to 6- Treaty? And G equals 23 plus 90. Right now again with the same thing for the parameter equation. What we do can you do the same thing? This is my remember and this the vicar be here is two -3 and nine so He can parliamentary question. It just takes -0/2. The same as Y -14/-3. The same as G plus 10 overnight. And again to use a secret to T. So access to T. Why is -3 t plus 14 And G. is 90 -10. This is how the question looks like. And for the better equation like we said before this is a not some T. V. So this is due to wake up plus 14 Jacob Afghanistan K cap nasty times to wake up minus T. Jacob plus nine. Kick and dissect. That's the answer.

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