Workshop #6 (Calculus III) | Answer Key - Edubirdie

University:
Seattle Pacific University
Course:
MAT 1236 | Calculus III
Academic year:

2024
Views:

433

Pages:

1
Author:

Skyla Potter

Workshop #6 1. Do the lines intersect? Be sure to show your work. L1 : x = 4 + 6t y =3+t z=t L2 : x = 12 + 2t y =7−t y = 1 + 2t 2. Does the line L intersect the plane P ? If so, find the point of intersection. L : x = 4 + 6t y =3+t z=t P : 2x + 3y − 4z = 12 3. Find the equation of the plane that contains the points (1, 5, 4), (4, −3, 7), and (−2, −5, 1). 4. Find the equation of the plane that is perpendicular to the plane 2x + 3y − 4z = 12 and contains the line x = 3 + t, y = 1 − t, z = 4t. 5. Find the equation of any plane that is parallel to the plane x − 5y − 4z = 12.

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