Answer to Question #96652 in Analytic Geometry for Manisha Nayak
Show that for any three vector a, b, c
a*(b*c)+b*(c*a) +c*(a*b) =0
1
2019-10-17T11:24:46-0400
We have:
a×(b×c)=b(a⋅c)−c(a⋅b)
b×(c×a)=c(b⋅a)−a(b⋅c)
c×(a×b)=a(c⋅b)−b(c⋅a) And
(a⋅c)=(c⋅a),(a⋅b)=(b⋅a),(b⋅c)=(c⋅b)
Thus,
a×(b×c)+b×(c×a)+c×(a×b)=0
Need a fast expert's response?
Submit order
and get a quick answer at the best price
for any assignment or question with DETAILED EXPLANATIONS!
Comments
Leave a comment