If O is the origin and O P=3 with direction ratios -1,2 and -2, then coordinates of P are

Question

If O is the origin and O P=3 with direction ratios -1,2 and -2, then coordinates of P are (A) (1,2,2) (B) (-1,2,-2) (C) (-3,6,9) (D) (-(1/3), (2/3), (-2/3))

Tardigrade Admin · Accepted Answer

Let the coordinate of P be (x1, y1, z1) ∴ Direction ratios of O P are (x1-0, y1-0, z1-0) i.e., (x1, y1, z1). Hence, coordinates of P are (-1,2,-2).

Q. If $O$ is the origin and $OP = 3$ with direction ratios $- 1, 2$ and $- 2$ , then coordinates of $P$ are

$(1, 2, 2)$

$(- 1, 2, - 2)$

$(- 3, 6, 9)$

$(- \frac{1}{3}, \frac{2}{3}, \frac{- 2}{3})$

Let the coordinate of $P$ be $(x_{1}, y_{1}, z_{1})$
$∴$ Direction ratios of $OP$ are $(x_{1} - 0, y_{1} - 0, z_{1} - 0)$
i.e., $(x_{1}, y_{1}, z_{1})$ .
Hence, coordinates of $P$ are $(- 1, 2, - 2)$ .

Q. If O is the origin and OP=3 with direction ratios −1,2 and −2, then coordinates of P are

(1,2,2)

(−1,2,−2)

(−3,6,9)

(−31​,32​,3−2​)