A point has position vector with respect to origin

PHYSICS · Single correct · CBSE · Physics · Motion in a Plane · Motion in a Plane

Problem

A point PP has position vector r=4 i^−3 j^ m\mathbf{r}=4\,\hat{\mathbf{i}}-3\,\hat{\mathbf{j}}\,\text{m} with respect to origin OO. The origin is shifted to O′O' such that O′O' is 2 m2\,\text{m} along +x+x and 1 m1\,\text{m} along +y+y from OO. What are the new coordinates of PP with respect to O′O'? (a) (6, −2)(6,\,-2) (b) (6, −4)(6,\,-4) (c) (2, −4)(2,\,-4) (d) (−2, 4)(-2,\,4)

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