Question

If A= (a,b) B=(x,y) C =(a,c,y)then verify (B-C)×A=(B×A)-(C×A)​

Answer 1

Step-by-step explanation:

*(B-C)={x,y}-{a,c,y}

(B-C)={x,y,a,c,}➡️1

(B×A)={x,y}×{a,b}a

(B×A)={(x,a) (x,b) (y,a) (y,b)}➡️2

(C×A)={(a,c,y)(a,b)}

(C×A)={(a,a)(a,b)(c,a)(c,b)(y,a)(y,b)}➡️3

(B-C)×A=(B×A)-(C×A)

(x,y,a,c)×(a,b)={(x,a)(x,b)(y,a)(y,b)}-{(a,a)(a,b)(c,a)(y,a)

(y,b)

{(x,a)(x,b)(y,a)(y,b)(a,a)(a,b)(c,a)(c,b)={(a)(x,b)(y,a)(y,b)}-{(a,a)(a,b)(c,a)(y,a)

(y,b)