Question

find the distance from the point P(x,y,z) to Z axis

Answer 1

the distance from z axis is √(x^2+y^2)

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Answer 2

The distance from the point P(x,y,z) to Z axis  is $\sqrt{x^2+y^2}$.

Step-by-step explanation:

To find : The distance from the point P(x,y,z) to Z axis ?

Solution :

The distance of the point (x,y,z) from z-axis will be the perpendicular distance from point (x,y,z) to z-axis whose co-ordinates will be (0,0,z).

The distance formula is given by,

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2}$

Here, $(x_1,y_1,z_1)=(x,y,z)$  and $(x_2,y_2,z_2)=(0,0,z)$

Substitute the value,

$d=\sqrt{(0-x)^2+(0-y)^2+(z-z)^2}$

$d=\sqrt{x^2+y^2}$

Therefore, the distance from the point P(x,y,z) to Z axis  is $\sqrt{x^2+y^2}$.

#Learn more

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