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. $(3,0,5)$
• B. $(1,-2,3)$
• C. $(1,-3,3)$
• D. $(3,0,4)$

Answer 1

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 $3$.