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If a point P whose position vector is `vec a` lying on the plane ABC where `A(2,3,0), B (3,-2,0), C(2,-1,0)`. Then distance of P from plane ABC is given by- |
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Answer» `vecn=vec(AB)*vec(AC)` `=(hati-5hatj)*(0hati-4hatj)` `=-4hatk` `vec(AP)*vecn=|vec(AP)||vecn|costheta` `(vecAvecP*vecn)/|(vecn)|=|vec(AP)|costheta` `(veca-(2hati+3hatj)*hatk=d` `vec(AP)=veca-vecb` `d=|(veca-4hatk)/4|=|vecahatk|` Option 1 is correct. |
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