Find a parametric equation of each of the following lines: a. 3x1 + 4x2 = 6 b. the line

Chapter 1, Problem 6

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QUESTION:

Find a parametric equation of each of the following lines:

a. \(3 x_{1}+4 x_{2}=6\)

b. the line with slope 1/3 that passes through \(A=(-1,2)\)

c. the line with slope 2/5 that passes through \(A=(3,1)\)

d. the line through \(A=(-2,1)\) parallel to \(\mathbf{x}=(1,4)+t(3,5)\)

e. the line through \(A=(-2,1)\) perpendicular to \(\mathbf{x}=(1,4)+t(3,5)\)

f. the line through \(A=(1,2,1)\) and \(B=(2,1,0)\)

g. the line through \(A=(1,-2,1)\) and \(B=(2,1,-1)\)

h. the line through \((1,1,0,-1)\) parallel to \(\mathbf{x}=(2+t, 1-2 t, 3 t, 4-t)\)

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(2 Reviews)

QUESTION:

Find a parametric equation of each of the following lines:

a. \(3 x_{1}+4 x_{2}=6\)

b. the line with slope 1/3 that passes through \(A=(-1,2)\)

c. the line with slope 2/5 that passes through \(A=(3,1)\)

d. the line through \(A=(-2,1)\) parallel to \(\mathbf{x}=(1,4)+t(3,5)\)

e. the line through \(A=(-2,1)\) perpendicular to \(\mathbf{x}=(1,4)+t(3,5)\)

f. the line through \(A=(1,2,1)\) and \(B=(2,1,0)\)

g. the line through \(A=(1,-2,1)\) and \(B=(2,1,-1)\)

h. the line through \((1,1,0,-1)\) parallel to \(\mathbf{x}=(2+t, 1-2 t, 3 t, 4-t)\)

ANSWER:

Step 1 of  9

Parametric equations have the form,

\(x=x_{0}+t v\)

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Review this written solution for 963693) viewed: 440 isbn: 9781429215213 | Linear Algebra: A Geometric Approach - 2 Edition - Chapter 1.1 - Problem 6

Thank you for your recent purchase on StudySoup. We invite you to provide a review below, and help us create a better product.

Textbook: Linear Algebra: A Geometric Approach

Click to rate

Write a review below (optional):

Submit Review
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Thanks for your review!

Think of all the students you've helped. Nice job!


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