Question

find the vector reciprocal to set. a= i+2j+2k, b= 2i+3j+k, c= i-j-2k​

Answer 1

Answer:

I just do a' as a sample. You calculate b' and c'

Step-by-step explanation:

$a'=\frac{b\times c}{a\bullet (b\times c)}, b' = \frac{c\times a}{a\bullet (b\times c)}, c' = \frac{a\times b}{a\bullet (b\times c)}$

Now, calculate b x c

$\left[\begin{array}{ccc}i&j&k\\2&3&1\\1&-1&-2\end{array}\right] =<-5, 5,-5>$

$a'=\frac{<-5,5,-5>}{<1, 2, 2>\bullet <-5, 5,-5>}=\frac{<-5, 5, -5>}{-5} =<1,-1,1>$