Answer:
Step-by-step explanation:
yyerr
3x+x=180
x=45 is the right answer
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:
84+n=342
Step-by-step explanation:
you would subtract 84 from 342 to find the width since it is perimeter.
Answer:
Step-by-step explanation:
Sum
-2d + 1 + 6d + 4
Solving like terms
4d + 5
Difference
-2d + 1 - 6d - 4
-8d - 3