Q4 of 230 Page 29

Determine the value of λ for which the following planes are perpendicular to each other.

and

Given planes, and


We know that planes and are perpendicular if


We have and


Now,


⇒(λ + 4 – 21) = 0


⇒λ = 21 – 4 = 17


Hence, for λ = 17 the given planes are perpendicular.


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3

Show that the following planes are at right angles :

and

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