Let P and Q be the points in R3 with position vectors p = (4, -6, 1) and q = (1, -3, -5), respectively. (a) Find the vector form of the equation of the line l through P and Q. (b) Determine the equation of the plane that passes through the origin and is perpendicular to l. (c) Determine the point where the line I intersects this plane.

Q: Given the point A(2,1,-3) and B(6,-1,-5) write the vector equation and the parametric equations of…

A: Once we get vector form of the equation we can easily write the parametric form of equation of line.

Q: Write the vector equation of the line defined by the following points. (25,17,42)and(-16, 12, 25)

A: Answer is given below :-Explanation:To find the vector equation of the line passing through two…

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Q: Find parametric equations for the line through the point P(-5,6,7) and perpendicular to the vectors…

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Q: 3. Given two points P(4,0,2) and Q(2,-1,3), find the equations of the vector PQ, the line passing…

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