If P,Q,R are the images of $$A6$$,$$3$$,$$2$$ with respect to the $$x-$$,$$y-$$,$$z-$$ axes respectively, then the distance of the centroid of the triangle PQR from the origin is

Question

If P,Q,R are the images of $$A6$$,$$3$$,$$2$$ with respect to the $$x-$$,$$y-$$,$$z-$$ axes respectively, then the distance of the centroid of the triangle PQR from the origin is

Infinity Learn · Accepted Answer

The image of $$A(x1$$,$$y1$$,$$z1)$$ with respect to $$x-axis$$ is $$x1$$,$$-y1$$,$$-z1$$ The image of $$A(x1$$,$$y1$$,$$z1)$$ with respect to $$y-axis$$ is $$-x1$$,$$y1$$,$$-z1The$$ image of $$A(x1$$,$$y1$$,$$z1)$$ with respect to $$z-axis$$ is $$-x1$$,$$-y1$$,$$z1The$$ vertices are $$P6$$,$$-3$$,$$-2$$,$$Q-6$$,$$3$$,$$-2$$,$$R-6$$,$$-3$$,$$2The$$ centroid of the triangle PQR is $$-2$$,$$-1$$,$$23The$$ distance from origin to the point $$-2$$,$$-1$$,$$23$$ is $$4+1+49=73$$

If $P, Q, R$ are the images of $A (6, 3, 2)$ with respect to the $x -, y -, z -$ axes respectively, then the distance of the centroid of the triangle $P Q R$ from the origin is

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If P,Q,R are the images of A6,3,2 with respect to the x-,y-,z- axes respectively, then the distance of the centroid of the triangle PQR from the origin is

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If $P, Q, R$ are the images of $A (6, 3, 2)$ with respect to the $x -, y -, z -$ axes respectively, then the distance of the centroid of the triangle $P Q R$ from the origin is