Find the point of intersection of the line through the points (2, 0, 1) and (-1, 3, 4) and the line through the points (-1, 3, 0) and (4, -2, 5). Calculate the acute angle between the two lines.

How can I solve this? Please help me.

Printable View

- January 21st 2008, 04:10 AMgetonVectors and planes
Find the point of intersection of the line through the points (2, 0, 1) and (-1, 3, 4) and the line through the points (-1, 3, 0) and (4, -2, 5). Calculate the acute angle between the two lines.

How can I solve this? Please help me. - January 21st 2008, 06:04 AMearboth
Hello,

the equation of the first line is:

........and the equation of the 2nd line is:

Take the direction vectors to calculate the angle according to the formula:

= ........ that means:

I don't know which method you use to calculate the point of intersection. I've got and produces the intersection point (1, 1, 2)