Question

Calculate the approximate distance point A (5,3, -2) and point B (2, -4, 8) are from the origin. Round to the

Answer 1

Answer:

3.0 units

Step-by-step explanation:

Distance between two points:

Suppose that we have two points, $(x_1,y_1)$ and $(x_2,y_2)$. The distance between them is given by:

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

Origin:

The origin is given by point (0,0,0).

Distance of point B to the origin:

Since the origin is all 0, just put the points into the square root.

$D = \sqrt{2^2 + 4^2 + 8^2} = \sqrt{84} = 9.2$

9.2 units.

Distance of point A to the origin:

$D = \sqrt{5^2 + 3^2 + 2^2} = \sqrt{37} = 6.1$

How much farther from the origin is point B than point A?

9.2 - 6.1 = 3.1 units

So approximately 3 units.