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 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.