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

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

Grade:12th pass

2 Answers

Arun
25763 Points
3 years ago
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
Hi
15 Points
9 months ago
 
 
 
 
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