If A and B are foot of perpendicular drawn from point Q (a ,b ,c ) to the planes yz and zx, then equation of plane through the points A ,B and O is

Question

Accepted Answer

Correct answer: A. (a) : A ≡ (0 ,b ,c ) and B ≡ (a ,0 ,c ) ∴ OA=bj+ck and OB=ai+ck ∴ n= OA OB= (ijk0bca0c ) =i ( bc )-j (- ac )+k (- ab )= ( bc )i+ ( ac )j- ( ab )k ∴ Eq^n of plane is r ( bci+ acj- abk )=0 ⇒ (xi+yj+zk ) ( bci+ acj- abk )=0 ⇒ xbc+ yac- zab=0 ⇒ xa+ yb- zc=0

$If A and B are foot of perpendicular drawn from point Q (a, b, c) to the planes yz and zx, then equation of plane through the points A, B and O is$

Solution

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