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8-6 VECTORS AND PARAMETRIC EQUATIONS
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8-6 Vectors and Parametric Equations

Feb 22, 2016

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8-6 Vectors and Parametric Equations. We can write an equation of a line by referencing a vector it is parallel to. This is called a Vector Equation Vector equation: where t is a scalar. 1)Write a vector equation of a line passing through P 1 (1,4) and parallel to - PowerPoint PPT Presentation
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Page 1: 8-6 Vectors and Parametric Equations

8-6 VECTORS AND PARAMETRIC EQUATIONS

Page 2: 8-6 Vectors and Parametric Equations

We can write an equation of a line by referencing a vector it is parallel to. This is called a Vector Equation

Vector equation: where t is a scalar.

Page 3: 8-6 Vectors and Parametric Equations

1)Write a vector equation of a line passing through P1 (1,4) and parallel to

2)Write a vector equation of a line passing through P1 (3,-9) and parallel to

Page 4: 8-6 Vectors and Parametric Equations

You can write vector equations by separating the horizontal and vertical components. This is a called a parametric equation.

Parametric Equation: x=x1 +ta1

y = y1 + ta2

Page 5: 8-6 Vectors and Parametric Equations

t x y

Page 6: 8-6 Vectors and Parametric Equations

4) Write a parametric equation of y = -4x + 7

5) Write a parametric equation of y = ½x + 7

Page 7: 8-6 Vectors and Parametric Equations

a) How long is it until the second plane overtakes the first?

b) How far have both planes traveled when the second plane overtakes the first?

Page 8: 8-6 Vectors and Parametric Equations