Given the three points A (3,-3,5), B(-5, 2, -1), C (0, 0, 1), let: .L1 be the line through A parallel to .P be the plane through B with normal E be the point of intersection of L1 and P .S be the sphere through A, B, C, E, .F be the centre of S. .L2 be the line through C and F. Using the geom3d package, or otherwise: (1) Find a decimal approximation to the angle between L1 and P, correct to 10 significant figures. Enter your answer in the box below. To prevent typing errors you can copy and paste the answer from your Maple worksheet. an
Given the three points A (3,-3,5), B(-5, 2, -1), C (0, 0, 1), let: .L1 be the line through A parallel to .P be the plane through B with normal E be the point of intersection of L1 and P .S be the sphere through A, B, C, E, .F be the centre of S. .L2 be the line through C and F. Using the geom3d package, or otherwise: (1) Find a decimal approximation to the angle between L1 and P, correct to 10 significant figures. Enter your answer in the box below. To prevent typing errors you can copy and paste the answer from your Maple worksheet. an
Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter10: Analytic Geometry
Section10.CT: Test
Problem 22CT
Related questions
Question
1
![Given the three points A (3,-3,5), B(-5, 2, -1), C (0, 0, 1), let:
.L1 be the line through A parallel to
.P be the plane through B with normal
. E be the point of intersection of L1 and P
.S be the sphere through A, B, C, E,
.F be the centre of S,
.L2 be the line through C and F.
Using the geom3d package, or otherwise:
(1) Find a decimal approximation to the angle between L1 and P, correct to 10 significant figures. Enter your answer in
the box below. To prevent typing errors you can copy and paste the answer from your Maple worksheet.
(ii) Find the coordinates of F and enter them in the box below. You should enclose the coordinates with square
brackets, eg [1,2,3], and your answer should be exact, le not a decimal approximation. To prevent typing errors you
can copy and paste the answer from your Maple worksheet.
(iii) Find the distance between A and L2. Your answer should be exact, not a decimal approximation. Enter your
answer in the box below using Maple syntax. To prevent typing errors you can copy and paste the answer from your
Maple worksheet.
B](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6a8e26e1-cd10-4338-855f-f551a8782ac8%2F9dc4a5b8-6916-49cf-9cfb-13e7049c7f28%2Fo8v1nwa_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Given the three points A (3,-3,5), B(-5, 2, -1), C (0, 0, 1), let:
.L1 be the line through A parallel to
.P be the plane through B with normal
. E be the point of intersection of L1 and P
.S be the sphere through A, B, C, E,
.F be the centre of S,
.L2 be the line through C and F.
Using the geom3d package, or otherwise:
(1) Find a decimal approximation to the angle between L1 and P, correct to 10 significant figures. Enter your answer in
the box below. To prevent typing errors you can copy and paste the answer from your Maple worksheet.
(ii) Find the coordinates of F and enter them in the box below. You should enclose the coordinates with square
brackets, eg [1,2,3], and your answer should be exact, le not a decimal approximation. To prevent typing errors you
can copy and paste the answer from your Maple worksheet.
(iii) Find the distance between A and L2. Your answer should be exact, not a decimal approximation. Enter your
answer in the box below using Maple syntax. To prevent typing errors you can copy and paste the answer from your
Maple worksheet.
B
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