Write the vector equation of a line given by x - 5 3 = y + 4 7 = … - Vidyadip

Question

Write the vector equation of a line given by $\frac{\text{x - 5}}{3}=\frac{\text{y + 4}}{7}=\frac{\text{z - 6}}{2}.$

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Answer

$\vec{\text{r}}=(5\hat{\text{i}}-4\hat{\text{j}}+6\hat{\text{k}})+\lambda(3\hat{\text{i}}+7\hat{\text{j}}+2\hat{\text{k}})$.

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