Find the equation of the plane through (-2, 1, 7) that is perpendicular to the line x – 4 = 2t, y + 2 = 3t, z = – 5t and find the vectors parallel to the plane 2x – y – z = 4 and orthogonal to the vector i + j + k.
Added by John C.
Step 1
Find the direction vector of the given line. The given line has parametric equations x = 4 + 2t, y = -2 + 3t, and z = -5t. So, the direction vector of the line is <2, 3, -5>. Show more…
Show all steps
Close
Your feedback will help us improve your experience
Aparna Shakti and 70 other Calculus 1 / AB educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Sri K.
Find an equation of the plane. The plane through the point (1, 0, 4) and perpendicular to the line x = 8t, y = 7 - t, z = 2 + 9t.
Adi S.
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Watch the video solution with this free unlock.
EMAIL
PASSWORD