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Find the resultant of the three vectors OA,OB and OC shown in figure .Radius of the circle is R . please give more explanation with solution

Find the resultant of the three vectors OA,OB and OC shown in figure .Radius of the circle is R . please give more explanation with solution

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Grade:12

2 Answers

Saurabh Koranglekar
askIITians Faculty 10335 Points
5 years ago
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Aayush Sharma
13 Points
3 years ago
we can simply find the component of the vector :
for OA - Rcos0=R ( as cos 0 = 1 ) 
for OB - Rcos45=R/√2 ( as cos 45 = 1/√2 )
for OC - Rcos45=R/√2 ( as cos 45 = 1/√2 )
Adding all we get - R/√2 + R/√2 + R = 2R/√2 + R , which on further simplification gives √2R + R = 
R(√2+1) , hence the required answer.

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