The coordinates of the point $(3,-7,5)$ in the new system, when the origin is shifted to the point $(-1,-1…
The coordinates of the point $(3,-7,5)$ in the new system, when the origin is shifted to the point $(-1,-1,-1)$ by the translation coordinate of axes, is
$(4,-6,6)$
$(4,6,6)$
$(6,6,6)$
$(4,4,4)$
Solution
Origin shifted to $(-1,-1,-1)$ i.e. $(0,0,0) \rightarrow(-1,-1,-1)$
Then $(3,-7,5) \rightarrow(3-(-1),-7-(-1), 5-(-1))$
$=(4,-6,6)$
$\therefore \quad$ The new co-ordinate of $(3,-7,5)$ is $(4,-6,6)$.