IGNOU MTE 3 2018 - Find the equation of the plane passing through (2,3, −1) and per

Question

Find the equation of the plane passing through (2,3, −1) and perpendicular to the line joining the points (3, 4, −1) and (2, −1, 5) .

02 Feb 2018

Answer :

Word Count : 334

To find the equation of the plane passing through the point \( (2, 3, -1) \) and perpendicular to the line joining the points \( (3, 4, -1) \) and \( (2, -1, 5) \), we follow these steps: ### Step 1: Find the direction vector of the line. The direction vector of the line joining the points \( (3, 4, -1) \) and \( (2, -1, 5) \) is calculated as the difference between the two points: \[ \text{Direction Vector} = (2 - 3, -1 - 4, 5 - (-1)) = (-1, -5,

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