If the coordinates of P are $(2, - 1, 4)$ . The origin is shifted to $(1, 1, 1)$ keeping the direction of the axes same. The new coordinates are

(3, 0, 5)

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(1, - 2, 3)

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(1, - 3, 3)

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(3, 0, 4)

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Solution

The correct option is B $(1, - 2, 3)$
The projection in the x axis with respect to the new system is $(2, 1, 1)$ and distance from $(1, 1, 1)$ is $1$ in the positive direction.
Hence, the new $x -$ coordinate is $1$ .
The projection in the y-axis with respect to the new system is $(1, - 1, 1)$ and new $y -$ coordinate is $- 2$ .
Similarly, projection in the z-axis with respect to the new system is $(1, 1, 4)$ and new $z -$ coordinate is $3$ .

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If the coordinates of P are (2,−1,4). The origin is shifted to (1,1,1) keeping the direction of the axes same. The new coordinates are

If the coordinates of P are $(2, - 1, 4)$ . The origin is shifted to $(1, 1, 1)$ keeping the direction of the axes same. The new coordinates are