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The foot of the perpendicular drawn from the origin O to a plane is N(12,-4,-3). Find the equation of the plane in cartesian form and vector form. |
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Answer» `(r - bar A).OA = 0` `(vec r - (12 hat i - 4 hat j - 3 hat k))*(12 hat i - 4 hat j - 3 hat k) = 0` `vec r * (12 hat i - 4 hat j - 3 hat k) = |12 hat i - hat j - 3 hat k|^2` `vec r (12 hat i - 4 hat j - 3 hat k ) = 169 ` it is in the form of vector so , in cartesian form `(x hat i + y hat j + z hat k)*(12 hat i - 4 hat j - 3 hat k) = 169` answer |
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