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in Three Dimensional Geometry by (46.3k points)

Find the equation of line in vector and cartesian form that passes through origin and (5, -2, 3).

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(i) Position vector of origin O(0,0,0) is  \(\vec{a} = \vec{0}\) and position vector equation of (5, – 2, 3) is

∴ Vector equation of line passing through \(\vec{a} \) and \(\vec{b}\)

(ii) Line passing through origin O(0, 0, 0) whose dc’s are 5,-2, 3. 

∴ Cartesian equation of line is

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