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okay I didn't understand much probably because I am used to equating two directional vectors and solving them with the cross product.I then take the position vectors of the line on which the plane contains and then equate the result of cross product subsequently to find 'd'.
when the question says its perpendicular to OAB,why do we consider OP at all?
...because OP is perpendicular to AB and so is plane OAB! OP falls in the region of OAB.
Saying that OP is in the plane OAB is exactly like saying ~ AB is in the plane which you need to solve for.
P.S. A rough sketch will make the situation easier to perceive.