The acute angle between the planes P, and P 2 , when P 1 and P 2 are the planes passing through the intersection of the planes 5x + 8y + 13z - 29 = 0 and 8x - 7y + z - 20 = 0 and the points (2, 1, 3) and (0,1, 2), respectively, is
Text Solution
Verified by ExpertsA
Equation of plane passing through the intersection of planes 5x + 8y + 13z -29 = 0 and 8x - 7y + z -20 = 0 is
5x + 8y + 3z-29 + 
(8x-7y + z-20) = 0 and
if it is passing through (2,1,3) then 
P 1 : Equation of plane through intersection of 5x + 8y + 13z-29 = 0 and 8x-7y+z-20 = 0 and the point (2, 1, 3) is
5x + 8y + 3z-29 + 
(8x-7y + z-20) = 0
2x-y + z = 6
Similarly P 2 : Equation of plane through intersection of
5x + 8y + 13z - 29 = 0 and 8x - 7y + z - 20 = 0 and the point (0,1,2) is
x + y + 2z = 5
Angle between planes 
──────────────────────────────────────────────────────────────────────────────────────────
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems