The line with vector parametrization r(t) = (3, 1, 4) + t(2, 2, 3) intersects the sphere

Question:

The line with vector parametrization r(t) = (3, 1, −4) + t(−2, −2, 3) intersects the sphere (x − 1)+ (y + 3)+ z= 8 in two points. Find them. Determine t such that the point (x(t), y(t), z(t)) satisfies the equation of the sphere, and then find the corresponding points on the line.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question

Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

Question Posted: