Question

The shortest distance of point (1,2,3)from X,Y and Z axis respectively are​

Answer 1

Answer:

Given point = (1,2,3)

Distances to be found from: x/y/z axis:

Simple trick to solve this problem

Distance of point P from A axis = sqrt( B^2 + C^2)

Where A axis can be any axis of your choice (X/Y/Z), and B and C axis should be the other axis other than the one you took for A

1) For X axis = sqrt(Y^2 + Z^2)

=> sqrt(2^2+3^2) = sqrt(4+9) = sqrt(13)

2) For Y axis = sqrt(X^2 + Z^2)

=> sqrt(1^2+3^2) = sqrt(1+9) = sqrt(10)

3) For Z axis = sqrt(X^2 + Y^2)

=> sqrt(1^2+2^2) = sqrt(1+4) = sqrt(5)

So the shortest distance of point (1,2,3)from X,Y and Z axis respectively are​ sqrt(13), sqrt(10), and sqrt(5)