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Two vecter having magnitude 12 and 13 are inclined at an angle 45 degree to each other .find their resultant vecter.?

Two vecter having magnitude 12 and 13 are inclined at an angle 45 degree to each other .find their resultant vecter.?

Grade:12th pass

1 Answers

Saurabh Koranglekar
askIITians Faculty 10335 Points
5 years ago
a = 12 ; b = 13 ; R = ? ; Q = 45°

=> R = √ ( a^2 + b^2 + 2 a . b . cos Q )

=> R = √ ( 12^2 + 13^2 + 2 . 12 . 13. cos 45 ° )

=> R = = √[144 + 169 + 312 (1/√2)]

=> R = √(313 + 220.65)

=> R = √(533.65)

=> R = 23.10

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