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

The line with vector parametrization r(t) = (3, 1, −4) + t(−2, −2, 3) intersects the sphere (x − 1)²+ (y + 3)²+ z²= 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.

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The line consists of points xt yt zt 32t 12t 4 3t If such a point lies on the sphere the... View full answer

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