I tried gooogling how to do it but there were none that could relate to the problem I have. Fin

migongoniwt

migongoniwt

Answered question

2022-06-24

I tried gooogling how to do it but there were none that could relate to the problem I have.

Find the angle bisectors of the lines:
g : r = ( 2 5 9 ) + u ( 8 4 1 )
f : r = ( 2 5 9 ) + v ( 12 4 3 )
Could someone give me an idea on how to start solving this question? I know that in order to determine the direction of the angle bisectors of the lines need to have the same length. So if

u or v=0 then they would have the same length no? But idk how to go from there.

Answer & Explanation

Jaylee Dodson

Jaylee Dodson

Beginner2022-06-25Added 22 answers

( 8 , 4 , 1 ) = 64 + 16 + 1 = 9 ( 12 , 4 , 3 ) = 144 + 16 + 9 = 13
If we scale our vectors by 1 9 , 1 13 respectively we will have two unit vectors pointing in different directions. When we sum them, the sum will bisect the angle between them.
r = ( 2 5 9 ) + s ( 1 9 ( 8 4 1 ) + 1 13 ( 12 4 3 ) )
seupeljewj

seupeljewj

Beginner2022-06-26Added 7 answers

First normalise the two directing vectors. A directing vector of the angle bisectors of the two lines are simply the sum and the difference of the two normalised directing vectors, by a property of rhombuses.

Do you have a similar question?

Recalculate according to your conditions!

New Questions in Elementary geometry

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?