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Home » Find the vector and Cartesian equations of a plane containing the two lines . Also show that the lines lies in the plane.
Find the vector and Cartesian equations of a plane containing the two lines \overrightarrow r = (2\widehat i + \widehat j - 3\widehat k) + \lambda (\widehat i + 2\widehat j + 5\widehat k)and\overrightarrow r = (3\widehat i + 3\widehat j + 2\widehat k) + \mu (3\widehat i - 2\widehat j + 5\widehat k). Also show that the lines \overrightarrow r = (2\widehat i + 5\widehat j + 2\widehat k) + \rho (3\widehat i - 2\widehat j + 5\widehat k) lies in the plane.
CBSE | Class 12 | Exercise 28I | Maths | RS Aggarwal | The Planes
Find the vector and Cartesian equations of a plane containing the two lines \overrightarrow r = (2\widehat i + \widehat j - 3\widehat k) + \lambda (\widehat i + 2\widehat j + 5\widehat k)and\overrightarrow r = (3\widehat i + 3\widehat j + 2\widehat k) + \mu (3\widehat i - 2\widehat j + 5\widehat k). Also show that the lines \overrightarrow r = (2\widehat i + 5\widehat j + 2\widehat k) + \rho (3\widehat i - 2\widehat j + 5\widehat k) lies in the plane.

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