Consider East as +ve x-axis, North as +ve y-axis. A girl walks 10 m East first time then 10 m in a direction 30° West of North for the 2 nd time and then third time in unknown direction and magnitude,

Question

Consider East as +ve x-axis, North as +ve y-axis. A girl walks 10 m East first time then 10 m in a direction 30° West of North for the 2 nd time and then third time in unknown direction and magnitude, so as to return to her initial position. What is her third displacement vector :-

TestHub · Accepted Answer

r 1 ​ = 10 i ^ r 2 ​ = − 10 sin 3 0 ∘ i ^ + 10 cos 3 0 ∘ j ^ ​ = − 5 i ^ + 5 3 ​ j ^ ​ To return, r 1 ​ + r 2 ​ + r 3 ​ = 0 : r 3 ​ = − ( r 1 ​ + r 2 ​ ) = − 5 i ^ − 5 3 ​ j ^ ​ Correct option: (A)

Physics - Vectors Question with Solution | TestHub

Options:

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