Question

A=(2,3) B=(4,5)
Find vector equation of staraight line parallel to vector B and passing through point A hence obtain cartesian equation
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Answer 1

Answer:

$r= a + \lambda \: b \\ vector \: equation : \\ \binom{x}{y} = \binom{2}{3} + \lambda \: \binom{2}{2} \\ cartesian \: equation : \\ \frac{x - 2}{2} = \frac{y - 3}{2} = \lambda$