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in 3D Coordinate Geometry by (30.9k points)
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Find the vector equation of the line passing through the point A(1, 2, –1) and parallel to the line 5x – 25 = 14 – 7y = 35z.

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by (31.4k points)
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Best answer

Given line is

Hence, parallel vector of given line i.e.,

Since required line is parallel to given line (i)

\(\Rightarrow \vec{r} = 7\hat{i}-5\hat{j}+\hat{k}\) will also be parallel vector of required line which passes through A(1, 2, -1).

Therefore, required vector equation of line is

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