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If a,b,c areunit vectors and a+b+c=i+j-2k,then a.b+b.c+c.a=

If a,b,c areunit vectors and a+b+c=i+j-2k,then a.b+b.c+c.a=

Grade:12

1 Answers

Badiuddin askIITians.ismu Expert
148 Points
12 years ago

Dear pallavi

a+b+c=i+j-2k

|a+b+c|2=|i+j-2k|2

|a| +|b| +|c|    +2(a.b +b.c+c.a)  =6

 2(a.b +b.c+c.a)  =6 -3 =3

(a.b +b.c+c.a)  =3/2

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