If from a point `P(a ,b ,c)`perpendiculars `P Aa n dP B`are drawn to ` – InterviewSolution

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1.	If from a point `P(a ,b ,c)`perpendiculars `P Aa n dP B`are drawn to `Y Za n dZ X-p l a n e s`find the vectors equation of the plane `O A Bdot`
Answer» The coordinates of the point A and B are (0,b,c) and (a,0,c) respectively. `:. bar(OA)= b hatj+hatk` and `bar(OB)= ahati+chatk` The plane, OAB passes through point `O(barO)` and is perpendicular to `barn=bar(OA)xxbar(OB)` `:. bar n= bar(OA)xxbar(OB)=\|{:(hati,hatj,hatk),(0,b,c),(a,0,c):}\|` `= bc hati+achatj-abhatk` `:.` The equation of the plane OAB is `(barr-bar0)barn=0` `:. vecrvecn=0` `:. vecr(bc bari+ac barj-ab bark)=0`

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