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Vectors> If |a|=11, |b|=23, |a-b|=30 then find |a+...

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If |a|=11, |b|=23, |a-b|=30 then find |a+b| and angle between a and b

Shweta , 7 Years ago

Grade 12th pass

2 Answers

Arun

Dear student

(a- b).(a-b) = a² + b² - 2a.b

900 = 121 + 529 - 2* 11*23 cos @

cos @ = -125 /253

Hence @ = cos ^-1 ( -125/253)

Now

(a+b). (a+b) = a² + b² + 2a.b

|a+b|² = 121 + 529 -250 = 400

|a+b| = 20

Approved

Last Activity: 7 Years ago

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