washam13 |

12.4 Equations contd....

washam13
washam13
12.4 Equations contd....
Jan 25 2011, 7:27 PM EST | Post edited: Jan 25 2011, 7:27 PM EST
scalar triple product
u- * (v- x w-) = l u1 u2 u3 l
l v1 v2 v3 l
l w1 w2 w3l
geometric properties of scalar triple product
a. volume of a parellel pipe = l u- * (v- x w-) l
b. u- * (v- x w-) = 0 only if u1-(v1-) and w- are in the same plane

algebraic properties of the scalar triple product
u- * (v- x w-) = w- * (u- x v-) = v- * (w- x u-)
u- * v- x w- = u- x v- * w-

scalar moment (torque)
T- - ll PQ- x F-ll = llPQ-ll llF-ll sin(theta)
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