e diagram shows a shed with horizontal rectangular base ABCD, where AB = 3 m, BC = 2 m, d vertical walls. There are two rectangular walls, ABB'A' and DCC'D' where AA' = BB' : "' = DD' = 2 m. e roof consists of the planes A'B'SR and C'D'RS, where RS is horizontal. ch section of the roof is inclined at an angle to the horizontal where tan 0 = The point is taken as origin and vectors i, j and k, each of length 1 m, are taken along AB, AD, and ', respectively. a) Verify that the plane with equation . (22i + 33j 12k) = 66 passes through B, D and S. b) Find the perpendicular distance, in metres, from A to the plane BDS. Give your answer in three significant figures. [1.59 m] c) Find a vector equation of the straight line A'S. ,te R] d) Show that the perpendicular distance from C to the straight line A'S is 2.91 m, correct to three significant figures. A' k D' 3 m -99)+(). LLAIS: T0+ t B S 2 m E C
e diagram shows a shed with horizontal rectangular base ABCD, where AB = 3 m, BC = 2 m, d vertical walls. There are two rectangular walls, ABB'A' and DCC'D' where AA' = BB' : "' = DD' = 2 m. e roof consists of the planes A'B'SR and C'D'RS, where RS is horizontal. ch section of the roof is inclined at an angle to the horizontal where tan 0 = The point is taken as origin and vectors i, j and k, each of length 1 m, are taken along AB, AD, and ', respectively. a) Verify that the plane with equation . (22i + 33j 12k) = 66 passes through B, D and S. b) Find the perpendicular distance, in metres, from A to the plane BDS. Give your answer in three significant figures. [1.59 m] c) Find a vector equation of the straight line A'S. ,te R] d) Show that the perpendicular distance from C to the straight line A'S is 2.91 m, correct to three significant figures. A' k D' 3 m -99)+(). LLAIS: T0+ t B S 2 m E C
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![12. The diagram shows a shed with horizontal rectangular base ABCD, where AB = 3 m, BC = 2 m,
and vertical walls. There are two rectangular walls, ABB'A' and DCC'D' where AA' = BB' =
CC' = DD' = 2 m.
The roof consists of the planes A'B'SR and C'D'RS, where RS is horizontal.
The point
4
Each section of the roof is inclined at an angle to the horizontal where tan =
A is taken as origin and vectors i, j and k, each of length 1 m, are taken along AB, AD, and
AA', respectively.
a) Verify that the plane with equation · (22ỉ + 33j – 12k) = 66 passes through B, D
and S.
b) Find the perpendicular distance, in metres, from A to the plane BDS. Give your answer
in three significant figures.
[1.59 m]
c) Find a vector equation of the straight line A'S.
KA
D'
LLAIS: 7 =
d) Show that the perpendicular distance from C to the straight line A'S is 2.91 m, correct to
three significant figures.
3 m
B'
(9)+. (1)...
B
2m
+t ,te R]
2 m
с](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7ef34b36-7e44-487b-8063-88632bccd7e8%2Ff6d6cd32-adfd-4aeb-9cb5-37d767033965%2Fg5kwpmp_processed.png&w=3840&q=75)
Transcribed Image Text:12. The diagram shows a shed with horizontal rectangular base ABCD, where AB = 3 m, BC = 2 m,
and vertical walls. There are two rectangular walls, ABB'A' and DCC'D' where AA' = BB' =
CC' = DD' = 2 m.
The roof consists of the planes A'B'SR and C'D'RS, where RS is horizontal.
The point
4
Each section of the roof is inclined at an angle to the horizontal where tan =
A is taken as origin and vectors i, j and k, each of length 1 m, are taken along AB, AD, and
AA', respectively.
a) Verify that the plane with equation · (22ỉ + 33j – 12k) = 66 passes through B, D
and S.
b) Find the perpendicular distance, in metres, from A to the plane BDS. Give your answer
in three significant figures.
[1.59 m]
c) Find a vector equation of the straight line A'S.
KA
D'
LLAIS: 7 =
d) Show that the perpendicular distance from C to the straight line A'S is 2.91 m, correct to
three significant figures.
3 m
B'
(9)+. (1)...
B
2m
+t ,te R]
2 m
с
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