How to find the point of intersection of two 3D vector line equations

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Steps on how to find the point of intersection of two 3D vector line equations.

Begin by grouping and equating the vector components of each vector line equation to find the unknown scalar parameters.

Once you have found the two unknown scalar parameters you can substitute this into the original vector line equations to find the point of intersection.

Music by Adrian von Ziegler
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You sooo good ..I’ve understood it fast

Flexi
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thank you so much ...
i got what i needed

ahmadhnabhan
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If two vectors like AB = xi + yj + zk, and BC = ai + bj + ck are given, where x, y, z, a, b, c are all given. Then what to do?

anuragparasharsarmah
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So how can I find the equation of the plane determined by these lines?

baldwinsiu
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You forgot the k component. Shouldn't you have a system of three equations?

taekwondotime
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I couldn't stand the music... Bye

ahmedgarma