A line passes through the point (2, 4, -3) and is parallel to the vect

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| A line passes through the point (2, 4, -3) and is parallel to the vector ( -2 + 3). Find the equation of the line in vector and cartesian form.

A. , ,

B. , ,

C. , ,

D. , ,

Right Answer is: C

SOLUTION

The line passes through the point (2, 4, -3) and is parallel to the vector ( -2 + 3) also the position vector of A is  = 2 +4 – 3

Therefore, vector equation of given line is  =  + λ

⇒  = 2 +4 – 3 + λ ( -2 + 3)

Therefore, cartesian form of the given line , ,

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