The line l has vector equation r=2i+s(i+3j+4k), Determine the position vector of the point on l which is closest to the point with position vector 6i-j+3k

urgent

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- Jul 22nd 2006, 09:56 PMkingkaisai2Vector- closest to the point
The line l has vector equation r=2i+s(i+3j+4k), Determine the position vector of the point on l which is closest to the point with position vector 6i-j+3k

urgent - Jul 22nd 2006, 10:29 PMCaptainBlackQuote:

Originally Posted by**kingkaisai2**

Then solve:

$\displaystyle \bold v\cdot (\bold r(s)-\bold x)=0$

for $\displaystyle s$, which should work as $\displaystyle \bold v$ is a vector pointing along the line,

and the vector from $\displaystyle \bold x$ to the closest point on the line is at orthogonal to $\displaystyle \bold v$.

RonL