Question

compute the euclidean distance City block distance chessboard distance for the point p and q where p is 2, 3, 7 and q is 2, 3, 2​

Answer 1

In Question is the first word compute
For me it is showing complete
Pls comment if it is compute

Answer 2

Answer:

euclidean distance=5,

city distance=5,

chessboard distance=5

Explanation:

Given p(2,3,7), q(2,3,2)

Euclidean formula:-

$\sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2 } + {(z2 - z1)}^{2} }$

where p(x1,y1,z1) and q(x2,y2,z2)

$\sqrt{ {(2 - 2)}^{2} + {(3 - 3)}^{2} + {(2 - 7)}^{2} } \\ \sqrt{25} = 5$

hence 5 is euclidean distance.

city distance:-

$( |x1 - x2| + |y1 - y2| + | z1 - z2 | )$

$( |2 - 2| + |3 - 3| + |7 - 2| ) \\ = 5$

hence 5 is city distance.

chessboard distance:-

d=Max(|x1-x2|,|y1-y2|,|z1-z2|)

where d is the chessboard distance

d=Max(|2-2|,|3-3|,|7-2|)

d= Max(0,0,5)

d=5

hence 5 is the chessboard distance