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
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ISBN:9780470458365
Author:Erwin Kreyszig
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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.

  1. What is the parametric line of the ray in the full-form?

  2. 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.

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