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Chapter 10: Q .9. (page 834)

Find an equation of the line containing the point $(- 1, 3, 7)$ with direction vector $(2, - 4, 9)$ .
(a) Use a different direction vector to find another equation for the same line. (b) Find an equation for the same line with the form
$x = a t + 5, y = b t + y_{0}, z = c t + z_{0} .$

Short Answer

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Part a)

Part b)

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Most popular questions from this chapter

Find $\vec{P Q}$

$P = (- 1, 5, 4), Q = (- 1, 6, 4)$

Find a vector in the direction of $<3, 1, 2>$ and with magnitude 5.

Find a vector in the direction opposite to $<- 4, 5, - 1>$ and with magnitude 3.

Find $\vec{P Q}$ .

$P = (3, 6), Q = (- 3, - 2)$

In Exercises 36–41 use the given sets of points to find:

(a) A nonzero vector N perpendicular to the plane determined by the points.

(b) Two unit vectors perpendicular to the plane determined by the points.

$P (1, 6), Q (0, - 3), R (- 5, 4)$

(Hint: Think of the $x y$ -plane as part of $ℝ^{3}$ .)

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Find an equation of the line containing the point $(- 1, 3, 7)$ with direction vector $(2, - 4, 9)$ .
(a) Use a different direction vector to find another equation for the same line. (b) Find an equation for the same line with the form
$x = a t + 5, y = b t + y_{0}, z = c t + z_{0} .$

Short Answer

Step by step solution

Step 1:Given information

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Find an equation of the line containing the point (−1,3,7)with direction vector (2,−4,9).(a) Use a different direction vector to find another equation for the same line. (b) Find an equation for the same line with the formx=at+5,y=bt+y0,z=ct+z0.

Short Answer

Step by step solution

Step 1:Given information

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Logic and Functions

Decision Maths

Applied Mathematics

Pure Maths

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Find an equation of the line containing the point $(- 1, 3, 7)$ with direction vector $(2, - 4, 9)$ .
(a) Use a different direction vector to find another equation for the same line. (b) Find an equation for the same line with the form
$x = a t + 5, y = b t + y_{0}, z = c t + z_{0} .$