Вопрос
3. Paccromane or rowor M_(4) no npasola isa mocrocra pamor: d=(vert Ax_(0)+By_(0)+C_(4)+Dvert )/(sqrt (A^2)+B^2+C^2) d=(vert Ax_(1)+By_(2)+C_(2)+Dvert )/(sqrt (A+B+C)) 3) d=((A_(0)+B_(0)+C)/(sqrt (A^2)+B^2) 4) d=((Ax_(0)+B)_(0)+C)/(sqrt (A+B))
Решения
4.0316 голоса
Александр
мастер · Репетитор 5 летЭкспертная проверка
Отвечать
The correct answer is:<br /><br />$d=\frac {\vert Ax_{0}+By_{0}+C_{4}+D\vert }{\sqrt {A^{2}+B^{2}+C^{2}}}$<br /><br />This formula represents the distance between a point $(x_{0}, y_{0})$ and a plane $Ax+By+Cz+D=0$ in three-dimensional space. The numerator of the fraction represents the absolute value of the dot product of the normal vector of the plane $(A, B, C)$ and the position vector of the point $(x_{0}, y_{0}, 0)$. The denominator represents the magnitude of the normal vector of the plane.
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