The length of projection of the line segment joining
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• The length of the projection of the line segment joining (1, 3,-1) and (3, 2, 4) on z axis is
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Answer: √30 units
Given two points in 3d space as,
- A (1, 3, -1) and B (3, 2, 4)
We have to find the distance between the two points or just projection of the line line segment.
In a 3d space, the distance between two points A(x₁, y₁, z₁) and B(x₂, y₂, z₂) is given by the formula,
⇒ AB = √{ (x₂ - x₁)² + (y₂ - y₁)² + (z₂ - z₁)² }
Substituting the required values in the formula, we get
⇒ AB = √{ (3 - 1)² + (2 - 3)² + (4 - (-1))² }
⇒ AB = √{ (2)² + (-1)² + (5)² }
⇒ AB = √( 4 + 1 + 25 )
⇒ AB = √30
∴ The length of projection of the line segment formed by joining the given points is √30 units.
Some Information:-
Distance of two points A(x₁, y₁) and B(x₂, y₂) in a 2d plane is given by,
- AB = √{ (x₂ - x₁)² + (y₂ - y₁)² }
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