Posted by **Indu** on Monday, July 7, 2008 at 12:01pm.

express the component of a cross product vector C= A x B in terms of Levi civita product vector and the component of a and B, using this relation show that A . ( AxB ) = 0

- Math -
**destiny**, Monday, July 7, 2008 at 2:20pm
write a dimesions of each room as a single unit a 10' 3" * 16' 9"

- Math -
**Damon**, Monday, July 7, 2008 at 7:20pm
Ck = eijk Ai Bj

e = 0 if any indices the same

e = 1 if order is 123, 231 etc

e = -1 if order is 132, 213 etc

so

A dot C = Ak Ck = Ak eijk Ai Bj

well for example. look at A1 C1

A1 C1 = A1 eij1 Ai Bj

= A1 A2 B3 - A1 A3 B2

now A2 C2 = A2 A3 B1 -A2 A1 B3

then A3 C3 = A3 A1 B2 - A3 A2 B1

When we add

For every PLUS we have an equal Negative

for example

A1 A2 B3 [- A1 A3 B2 ]

A2 C2 = A2 A3 B1 -A2 A1 B3

A3 C3 = [ A3 A1 B2 ] - A3 A2 B1

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