I am having trouble understanding how the vector equation of a line : (x,y,z) + t(x1,y1,z1) can be used in conjuction with another vector in the form (x,y,z).(adsbygoogle = window.adsbygoogle || []).push({});

I visualise it like this. Points are : O to P and O to Q. So there are two vectors. The vector P to Q is given by Q - P which is the same as (x1,y1,z1).

So that means if someone gives me a vector (x2,y2,z2) to determine if it is perpendicular or parallel I can just use (x1,y1,z1) and do the necessary tests dot product = 0 for perp. and cross product = 0 for parallel ?

Is my understanding correct ?

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# How can I compare the vector equation of a line to a vector in the form (x,y,z)

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