If a=3,b=4,c=5 and a+b+c=0 then angle between a and b is
pallavi pradeep bhardwaj , 16 Years ago
Grade 12
2 Answers
Badiuddin askIITians.ismu Expert
Dear pallavi
|a|=3,|b|=4,|c|=5
a+b+c=0
a+b =-c
|a+b| =|-c|
|a+b|2 =|-c|2
|a|2 +|b|2 +2a.b =|c|2
9 + 16 +2a.b= 25
a.b=0
so a and b are perpendicular
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Last Activity: 16 Years ago
Kushagra Madhukar
Dear student,
Please find the solution to your problem.
|a| = 3, |b| = 4, |c| = 5
a + b + c = 0
a + b = – c
|a + b| = | – c|
|a + b|2 = | – c|2
|a|2 + |b|2 + 2a.b = |c|2
9 + 16 + 2a.b = 25
a.b = 0
so a and b are perpendicular.
Thanks and regards,
Kushagra
Last Activity: 5 Years ago
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