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Určenie priesečníka dvoch priamok
Urči priesečník X dvoch priamok:
\( \normalsize p:{\normalsize A}\normalsize\left[1;1;3\right],{\normalsize B}\normalsize\left[3;4;2\right]{\:\normalsize a}\normalsize\:q:{\normalsize E}\normalsize\left[2;1;-2\right],{\normalsize F}\normalsize\left[3;2;-4\right] \)
\( x = 1 + 2t = 2 \)
\( y = 1 + 3t = 0 \)
\( z = 3 - t = 3 \)
\( \normalsize X\left[2;0;3\right] \)
\( x = 1 + 2t = 3 \)
\( y = 1 + 3t = 1 \)
\( z = 3 - t = 2 \)
\( \normalsize X\left[3;1;2\right] \)
\( x = 1 + 2t = − 1 \)
\( y = 1 + 3t = − 2 \)
\( z = 3 − t = 4 \)
\( \normalsize X\left[-1;-2;4\right] \)
\( x = 1 + 2t = 0 \)
\( y = 1 + 3t = -1 \)
\( z = 3 - t = 5 \)
\( \normalsize X\left[0;-1;5\right] \)