2. Let P be a point not on the plane that passes through the points Q, R, and S. a. Show that the distance d from P to the plane is |ã. (bx c) |ax b| Where a = QR, b = QS, and c = QP. d = b. Use the formula in part a to find the distance from the point P (2,1,4) to the plane through the points Q (1,0,0), R(0,2,0), and S(0,0,3).
2. Let P be a point not on the plane that passes through the points Q, R, and S. a. Show that the distance d from P to the plane is |ã. (bx c) |ax b| Where a = QR, b = QS, and c = QP. d = b. Use the formula in part a to find the distance from the point P (2,1,4) to the plane through the points Q (1,0,0), R(0,2,0), and S(0,0,3).
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![2. Let P be a point not on the plane that passes through the points Q, R, and S.
a. Show that the distance d from P to the plane is
|ã. (b × c)
|à x bl
Where a = QR, b = QS, and c = QP.
b. Use the formula in part a to find the distance from the point P
(2,1,4) to the plane through the points Q (1,0,0), R(0,2,0), and
S(0,0,3).
d =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2f3955b8-0d95-4a87-bec6-dd350f05e8a6%2Fac50af28-2d34-4a55-a9fd-c229c360da2d%2Few5vfz_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2. Let P be a point not on the plane that passes through the points Q, R, and S.
a. Show that the distance d from P to the plane is
|ã. (b × c)
|à x bl
Where a = QR, b = QS, and c = QP.
b. Use the formula in part a to find the distance from the point P
(2,1,4) to the plane through the points Q (1,0,0), R(0,2,0), and
S(0,0,3).
d =
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