A plane \pi_1 passing through the point 3 \overline{i}-7 \overline{j}+5 \overline{k} is perpendicular to the vector \overline{i}+2 \overline{j}-2 \overline{k} and another plane \pi_2 passing through the point 2 \overline{i}+7 \overline{j}-8 \overline{k} is perpendicular to the vector 3 \overline{i}+2 \overline{j}+6 \overline{k}. If p_1 and p_2 are the perpendicular distances from the origin to the planes \pi_1 and \pi_2 respectively, then p_1-p_2= [TG EAPCET 10 May 2024 Shift 1]

Three Dimensional Geometry

Section: Mathematics

Question : 12 of 17

Marks: +1, -0

A plane π1 passing through the point 3i−7j+5k is perpendicular to the vector i+2j−2k and another plane π2 passing through the point 2i+7j−8k is perpendicular to the vector 3i+2j+6k. If p1 and p2 are the perpendicular distances from the origin to the planes π1 and π2 respectively, then p1−p2=

[TG EAPCET 10 May 2024 Shift 1]

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