Find the equation of a line parallel to x-axis and passing throug… - Vidyadip

Question

Find the equation of a line parallel to x-axis and passing through the origin.

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Answer

Vector equation of a line is
$\vec{\text{r}}=\vec{\text{a}}+\lambda\vec{\text{b}}$
The direction cosines of the x-axis are (1, 0, 0). Equation of a line parallel to the x-axis and passing through the origin is
$\vec{\text{r}}=\big(0\hat{\text{i}}+0\hat{\text{j}}+0\hat{\text{k}}\big)+\lambda\big(1\hat{\text{i}}+0\hat{\text{j}}+0\hat{\text{k}}\big)$
$\vec{\text{r}}=\lambda\hat{\text{i}}$

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