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Derive the equation of the line in space passing through a point and parallel to a vector both in vector and Cartesian form.

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Derive the equation of the line in space passing through a point and parallel to a vector both in vector and Cartesian form.

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1 Answer

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Best answer

xi + yj + zk=(x1i + y1j + z1k) + λ(b1i + b2j + b3k) 

xi + yj + zk=(x1 +λb1)i+(y1 +λb2) j + (z1+ λb3)k 

x = x1 + λb1 y= y1 + λb2 z = z1 + λb3 

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