Question

If the sum of the squares of the distances of a point from the three coordinate axes be 36, then its distance from the origin is:

a. 2
b. 3
c. 4
d. 6

Answer 1

d

Step-by-step explanation:

I assume this is 3d, in that case

Distance from Origin = sqrt(x^2+y^2+z^2) = sqrt(36)=6

Answer 2

The distance from the origin can be found using the equation x^2 + y^2 + z^2 = 36, and the answer is 6.

Step-by-step explanation:

To find the distance from the origin, we need to find the square root of the sum of the squares of the distances from the coordinate axes. Let's assume the coordinates of the point to be (x, y, z). Since the distance of the point from the x-axis is x, the distance from the y-axis is y, and the distance from the z-axis is z, we have the equation:

x^2 + y^2 + z^2 = 36

Since the distance from the origin is the square root of the sum of the squares of the distances from the coordinate axes, the distance from the origin is:

sqrt(x^2 + y^2 + z^2)

Therefore, the answer is d. 6.