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Question

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

A
(3,0,5)
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B
(1,2,3)
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C
(1,3,3)
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D
(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 xcoordinate is 1.
The projection in the y-axis with respect to the new system is (1,1,1) and new ycoordinate is 2.
Similarly, projection in the z-axis with respect to the new system is (1,1,4) and new zcoordinate is 3.

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