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prove 13-16 which are often useful in practical work.(without example)Hint: for 13 choose cartezian coordinate such...

prove 13-16 which are often useful in practical work.(without example)Hint: for 13 choose cartezian coordinate such that d=[d1,0,0,]and c=[c1,c2,0].show that each side of(13) then equals [-b2c2d1,b1c2d1,0]and give reasons why the two sides are then equal in any Cartesian coordinatesystem.for 14 and 15 use 13.

13.bx(cxd)=(b.d)c-(b.c)b

14.(axb)x(cxd)=(a b d)c-(a b c)d

15.(axb).(cxd)=(a.c)(b.d)-(a..d)(b.c)

16.(a b c)=(b c a)=(c a b)=-(c b a)=-(c b a)=-(a c b)

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