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13. Two vectors having magnitude 12 and 13 are inclined at an angle 45 to each other. Find theiresultant vector.

Answer»

approximately 23

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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