Consider east as positive $$x-axis$$, north as positive $$y-axis$$. A girl walks $$10$$ m east first time then $$10$$ m in a direction $$300$$ west of north for the second time and then third time in unknown direction and magnitude so as to return to her initial position. What is her third displacement in unit vector notation?

Question

Consider east as positive $$x-axis$$, north as positive $$y-axis$$. A girl walks $$10$$ m east first time then $$10$$ m in a direction $$300$$ west of north for the second time and then third time in unknown direction and magnitude so as to return to her initial position. What is her third displacement in unit vector notation?

Infinity Learn · Accepted Answer

$$s1$$→ $$+s2$$→$$+s3$$→ $$=$$ $$010i^+$$[$$10sin30($$−$$i^)+10cos30j^$$]$$+s3$$→ $$=0(10$$−$$5)i^+53j^+s3$$→ $$=0s3$$→ $$=$$ −$$5i^-53j^$$

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