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PHYS2004 (1
st
Term 10/11)
1
Assignment 2
Section A (Compulsory – due on 30/09/2010 Thu (before 5:00 pm))
1.
Show that the four points:
1, 1, 0
A
,
2, 0,
1
B
,
2,1, 2
C
and
4, 4,
1
D
are
coplanar and find the equation of the plane containing them.
[50 marks]
2.
Find the Cartesian equation of
(a)
an infinite right circular cone with vertex at origin
0, 0, 0 and angle
with
the axis along
1
ˆ
ˆ
ˆ
ˆ
3
ni
j
k
.
[25 marks]
(b)
a right circular cylinder of radius
a
with axis along
1
ˆ
ˆ
ˆ
ˆ
3
j
k
.
[25 marks]
Section B (Optional Questions for STOT groups – please submit in STOT group sessions)
3.
Given that
1
a
,
2
a
and
3
a
are vectors such that
12 3
1
aa a
.
(i)
If
11
2 2
33
ra
a
a
, express
i
in terms of
r
,
1
a
,
2
a
and
3
a
.
(ii)
r
may also be expressed in the form:
11 2
2 2 3
33 1
a
a
a
a
a
.
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This note was uploaded on 10/14/2010 for the course PHYS 2051 taught by Professor Drkwong during the Spring '10 term at CUHK.
 Spring '10
 DrKwong

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