a2 - PHYS2004 (1st Term 10/11) Assignment 2 Section A...

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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.

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a2 - PHYS2004 (1st Term 10/11) Assignment 2 Section A...

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