Recall that for 3 vectors 
, all in 
, the vector triple product
So
Also recall the scalar triple product,
which gives the signed volume of the parallelipiped generated by the three vectors . When either 
or 
, the parallelipepid is degenerate and has 0 volume, so
and the above reduces to
so that
![(u\times v)\cdot[(v\times w)\times(w\times u)]=(u\times v)\cdot((v\times w)\cdot u)w](https://tex.z-dn.net/?f=%28u%5Ctimes%20v%29%5Ccdot%5B%28v%5Ctimes%20w%29%5Ctimes%28w%5Ctimes%20u%29%5D%3D%28u%5Ctimes%20v%29%5Ccdot%28%28v%5Ctimes%20w%29%5Ccdot%20u%29w)
The scalar triple product has the following property:
Since 
is a scalar, we can factor it out to get
and by the property above we have
and so we end up with
![[u\cdot(v\times w)]^2](https://tex.z-dn.net/?f=%5Bu%5Ccdot%28v%5Ctimes%20w%29%5D%5E2)
as required.
Answer:2.25
Step-by-step explanation:
I’m assuming the information you’ve given is for a picture. However, the picture isn’t showing.
Step-by-step explanation:
There are 12 in a dozen, so each egg would cost $1.56.
Now, you must multiply $1.56 by 12. Now you can find the answer from here. Hope this helps!
Answer:
18 or 17
Step-by-step explanation:
Plan a= 2x + 10
plan b= .25x + 40
2x + 10 = .25 + 40
1.75x=30
x=17.14
