Question

The vector equation of the plane passing through the origin and the line of intersection of plane $\mathrm { r } . \mathrm { a } = \lambda$ and is

• A. $r . ( \lambda a - \mu b ) = 0$
• B. $r . ( \lambda b - \mu a ) = 0$
• C. $r . ( \lambda a + \mu b ) = 0$
• D. $r . ( \lambda b + \mu a ) = 0$

Answer 1

Answer: (B)

$r . ( \lambda b - \mu a ) = 0$

Answer 2

The equation of a plane through the line of intersection of plane $\mathrm { r } . \mathrm { a } = \lambda$ and can be written as

……(i)

This passes through the origin, therefore putting the value of k in (i),

$r ( \mu a - \lambda b ) = 0$

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