What is the distance between the points (7 3 4) and (5 2 9)?
Solution:
We can make use of the section formula for calculating the distance between two points.
The 3D visualization of the figure helps us in understanding the problem in a better way since it makes the calculation much easier due to the visual analysis of the problem.
Let us label the two given points as A (x1 , y1, z1) and B ( x2, y2, z2)
( Representation of distances between two points in 3D, inside a cuboid )
Applying the distance formula for AB, we get
AB=√(x1 − x2)2 + (y1 − y2)2 + (z1 − z2)
Puting x1 = 7, y1 = 3, z1 = 4, & x2 = 5, y2 = 2, z2 = 9
==> AB = √(7 - 5)2 + (3 - 2)2 + (4 - 9)2
==> AB = √ 4 + 1 + 25
==> AB = √30
Hence, the distance between the two given points is calculated to be √30.
What is the distance between the points (7 3 4) and (5 2 9)?
Summary:
The distance between the two given points is calculated to be √30