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Mathematics · 2021

JEE Main · 25 February 2021, Shift 2 · Q73

A plane passes through the points A (1,2,3), B (2,3,1) and C (2,4,2). If O is the origin and P is (2, -1, 1), then the projection of OP on this plane…

A plane passes through the points $\displaystyle \mathrm{A}(1,2,3), \mathrm{B}(2,3,1)$ and $\displaystyle \mathrm{C}(2,4,2)$. If O is the origin and P is ($\displaystyle 2$, -$\displaystyle 1$, $\displaystyle 1$), then the projection of $\displaystyle \overrightarrow{\mathrm{OP}}$ on this plane is of length :
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