Question

Find the length of the line joining the origin with a point (2,1,-2)

Answer 1

Answer:

length =3

Explanation:

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Answer 2

Answer:

The length of the line joining the origin with the point (2, 1, -2) is 3 units.

Explanation:

The origin is a point in a coordinate system where all the coordinates are equal to zero. In a two-dimensional coordinate system, the origin is located at the intersection of the x-axis and y-axis. In a three-dimensional coordinate system, the origin is located at the intersection of the x-axis, y-axis, and z-axis. The origin is usually denoted by the point (0, 0) in two dimensions and (0, 0, 0) in three dimensions.

To find the length of the line joining the origin with the point (2, 1, -2), we can use the distance formula, which is:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2)

Here, x1 = y1 = z1 = 0 (as the origin has coordinates (0,0,0)), and x2 = 2, y2 = 1, z2 = -2. Substituting these values into the formula, we get:

d = sqrt((2 - 0)^2 + (1 - 0)^2 + (-2 - 0)^2)

= sqrt(4 + 1 + 4)

= sqrt(9)

= 3

Therefore, the length of the line joining the origin with the point (2, 1, -2) is 3 units.

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