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.
I hope this helps you
Area = width. length
3/5=w.7/8
w=3/5.8/7
w=24/35
Answer:
SAS
Step-by-step explanation:
As per the given diagram, the following facts are evident.
(BR) = (CR), Both sides have two small orange lines on them. This shows that these sides are congruent.
(<B) = (<C), this is shown by the box around both angles, indicating that both angles have a measure of (90) degrees.
(AB) = (AC), Both sides have one small orange line on them. This indicates that these sides are congruent to each other.
Therefore, the sides are congruent by the theorem (SAS); side-angle-side, congruence.
Is there an article or a text that you have to do this off of??
I hope this is in dollars. Remember to always put a label on a number. Who knows, maybe this person paid in bananas.
$45+$60+$7= $112.
