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Important Equations for 12.4

washam13
washam13
Important Equations for 12.4
Jan 25 2011, 7:07 PM EST | Post edited: Jan 25 2011, 7:07 PM EST
la1 a2l
lb1 b2l = a1b2 - a2b1

la1 a2 a3l
lb1 b2 b3l = a1 lb2 b3l -a2 lb1 b3l +a3 lb1 b2l
lc1 c2 c3l lc2 c3l lc1 c3l lc1 c2l

u- = <u1 u2 u3> v- = <v1 v2 v3>
u- x v- = (u2u3 - u3u2)i - (u1u3 -v1u3)j + (u1v2 - v1u2)k

properties
u- x v- = -(v- x u-)
u- x (v- + w-) = (u- x v-) + (u- X w-)
k(u- x v-) = (ku-) x v- = (kv-) x u-
u- x 0 = 0 x u- = 0
u- x u- = 0
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