230k views
21 votes
Let y=[ 3 1 ]y=

[3
1] and u=[ 8 6 ]u=
[8
6].
Compute the distance from y to the line through u and the origin.

User Simon Curd
by
4.2k points

1 Answer

7 votes

Answer:

2√5

Explanation:

Given the coordinates y(3,1) and u(8,6)

We are to find the distance between the two coordinates

Using the formula:

D = √(x2-x1)²+(y2-y1)²

D = √(8-3)²+(6-1)²

yu = √(5)²+(5)²

yu = √25+25

yu = √50

yu = 2√5

Hence the distance between the two coordinates is 2√5

User Dan Karbayev
by
4.6k points