Question

The equation of the plane containing the line and perpendicular to the plane $\mathrm { r } . \mathrm { n } = \mathrm { q }$ is

• A. $( \mathrm { r } - \mathrm { b } ) \cdot ( \mathrm { n } \times \mathrm { a } ) = 0$
• B. $( \mathrm { r } - \mathrm { a } ) \cdot ( \mathrm { n } \times ( \mathrm { a } \times \mathrm { b } ) ) = 0$
• C. $( \mathrm { r } - \mathrm { a } ) \cdot ( \mathrm { n } \times \mathrm { b } ) = 0$
• D.

Answer 1

Answer: (C)

$( \mathrm { r } - \mathrm { a } ) \cdot ( \mathrm { n } \times \mathrm { b } ) = 0$

Answer 2

Since the required plane contains the line and is perpendicular to the plane .

∴ It passes through the point a and parallel to vectors b and n. Hence, it is perpendicular to the vector .

∴ Equation of the required plane is

⇒ .