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![10. Given the points A(1, 0, 1), B(2, 3, 0), C(-1, 1, 4), and
D(0, 3, 2), find the volume of the parallelepiped with adjacent
edges AB, AC, and AD.
Pho
11. (a) Find a vector perpendicular to the plane through the points
A(1, 0, 0), B(2, 0, -1), and C(1, 4, 3).
(b) Find the area of triangle ABC.
12. A constant force F = 3i+5j + 10k moves an object along
the line segment from (1, 0, 2) to (5, 3, 8). Find the work done
if the distance is measured in meters and the force in newtons.
13. A boat is pulled onto shore using two ropes, as shown in the
diagram. If a force of 255 N is needed, find the magnitude of
the force in each rope.
14. Find the magnitude of the torque about P if a 50-N force is
stugo) o os bas
applied as shown.
15-17 Find
unipa 50 Neuq indi stedge teg
noubado
se od obiani (s
40 cm
20° 255 N
30°
P
30°
30°
+ S + x) + DEL
pasly
alq basilani
bard yd bowa
sol T
21. Fin
tion
2x
22. Fin
23. Det
equ
and
are
24. (a)
b = (b)
G
07
25. Fin
the
pla
26. (a)
(b)
(c)
(d)
27. Fir
and](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb577e769-7274-4e3e-8a73-f77fb81c269d%2F374faa57-a14c-4802-8ceb-d19d4d3b93c3%2Fjgmo2lk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:10. Given the points A(1, 0, 1), B(2, 3, 0), C(-1, 1, 4), and
D(0, 3, 2), find the volume of the parallelepiped with adjacent
edges AB, AC, and AD.
Pho
11. (a) Find a vector perpendicular to the plane through the points
A(1, 0, 0), B(2, 0, -1), and C(1, 4, 3).
(b) Find the area of triangle ABC.
12. A constant force F = 3i+5j + 10k moves an object along
the line segment from (1, 0, 2) to (5, 3, 8). Find the work done
if the distance is measured in meters and the force in newtons.
13. A boat is pulled onto shore using two ropes, as shown in the
diagram. If a force of 255 N is needed, find the magnitude of
the force in each rope.
14. Find the magnitude of the torque about P if a 50-N force is
stugo) o os bas
applied as shown.
15-17 Find
unipa 50 Neuq indi stedge teg
noubado
se od obiani (s
40 cm
20° 255 N
30°
P
30°
30°
+ S + x) + DEL
pasly
alq basilani
bard yd bowa
sol T
21. Fin
tion
2x
22. Fin
23. Det
equ
and
are
24. (a)
b = (b)
G
07
25. Fin
the
pla
26. (a)
(b)
(c)
(d)
27. Fir
and
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