Consider a ray that starts at e = (-1,-3) and has direction d = (1⁄3,2). The ray intersects the unit circle defined by x2 + y2 = 1 at two points. We can write the parametric line of the ray as the following: p(t) = e + td. What is the parametric line of the ray in the full-form? Draw a picture presenting the ray p(t) and the unit circle using the Cartesian coordinate. c. What is the vector form of the unit circle? d. Find the two points that the ray intersects the unit circle.
Consider a ray that starts at e = (-1,-3) and has direction d = (1⁄3,2). The ray intersects the unit circle defined by x2 + y2 = 1 at two points. We can write the parametric line of the ray as the following: p(t) = e + td. What is the parametric line of the ray in the full-form? Draw a picture presenting the ray p(t) and the unit circle using the Cartesian coordinate. c. What is the vector form of the unit circle? d. Find the two points that the ray intersects the unit circle.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Consider a ray that starts at e = (-1,-3) and has direction d = (1⁄3,2). The ray intersects the unit circle defined by x2 + y2 = 1 at two points. We can write the parametric line of the ray as the following: p(t) = e + td.
-
What is the parametric line of the ray in the full-form?
-
Draw a picture presenting the ray p(t) and the unit circle using the Cartesian
coordinate.
c. What is the
d. Find the two points that the ray intersects the unit circle.
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