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Diketahui |a| = 10, |b| = 6, |a + b| = 14, maka |a – b| =

Diketahui |a| = 10, |b| = 6, |a + b| = 14, maka |a – b| = ….

     A.   2√19

     B.    76

     C.    36

     D.   2√15

     E.    12

Jawab:

|a| = 10, |b| = 6, |a + b| = 14

|a – b| = …. ?

|a – b|2 = 2|a|2 + 2|b|2 – |a + b|2

            = 2(10)2 + 2(6)2 – 142

            = 200 + 72 – 196

|a – b|2 = 76

|a – b| = √76 = 2√19

JawabanA

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