cartesian/scalar/standard form determine the scalar ... · scalar multiples in this case. 2. the...

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8.2 ScalarCartesian Equation of Line Blank may 16.notebook 1 June 09, 2016 8.2 Cartesian Equation of a Line Recall: Various Forms of Equations of Lines SlopeIntercept Vector Parametric Symmetric Consider: 10 8 6 4 2 0 2 4 6 8 10 10 9 8 7 6 5 4 3 2 1 1 2 3 4 5 6 7 8 9 10 x y 10 8 6 4 2 0 2 4 6 8 10 10 9 8 7 6 5 4 3 2 1 1 2 3 4 5 6 7 8 9 10 x y Determine the scalar equation of the line Cartesian/Scalar/Standard Form In general where Cartesian/Scalar/Standard Form

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Page 1: Cartesian/Scalar/Standard Form Determine the scalar ... · scalar multiples in this case. 2. The two lines are perpendicular if and only if their dot product is zero. n, — 0 It

8.2 ScalarCartesian Equation of Line Blank may 16.notebook

1

June 09, 2016

8.2 Cartesian Equation of a Line

Recall:  Various Forms of Equations of Lines

Slope­Intercept

Vector

Parametric

Symmetric

Consider:

­10 ­8 ­6 ­4 ­2 0 2 4 6 8 10

­10­9­8­7­6­5­4­3­2­1

12345678910

x

y

­10 ­8 ­6 ­4 ­2 0 2 4 6 8 10

­10­9­8­7­6­5­4­3­2­1

12345678910

x

y

Determine the scalar equation of the line                    

Cartesian/Scalar/Standard Form

In general where 

Cartesian/Scalar/Standard Form

Page 2: Cartesian/Scalar/Standard Form Determine the scalar ... · scalar multiples in this case. 2. The two lines are perpendicular if and only if their dot product is zero. n, — 0 It

8.2 ScalarCartesian Equation of Line Blank may 16.notebook

2

June 09, 2016

Convert the vector equation                      to 

the Scalar/Cartesian equation.

Page 3: Cartesian/Scalar/Standard Form Determine the scalar ... · scalar multiples in this case. 2. The two lines are perpendicular if and only if their dot product is zero. n, — 0 It

8.2 ScalarCartesian Equation of Line Blank may 16.notebook

3

June 09, 2016

Determine the symmetric equation of the line                    (if it exists)

Determine the scalar equation of a line:

(5,­3) & (­1, ­7)

Page 4: Cartesian/Scalar/Standard Form Determine the scalar ... · scalar multiples in this case. 2. The two lines are perpendicular if and only if their dot product is zero. n, — 0 It

8.2 ScalarCartesian Equation of Line Blank may 16.notebook

4

June 09, 2016

Determine the measure of the acute angle formed when the following two lines intersect. 

Page 5: Cartesian/Scalar/Standard Form Determine the scalar ... · scalar multiples in this case. 2. The two lines are perpendicular if and only if their dot product is zero. n, — 0 It

8.2 ScalarCartesian Equation of Line Blank may 16.notebook

5

June 09, 2016

P.443#1, 3 ­ 8, 9b,    10ace, 11