Let \pi_{1} be a plane passing through the point \overline{i}+\overline{j}+\overline{k} and perpendicular to the vector -\overline{j}+2 \overline{k}. Let the line {L} passing through the points 3 \overline{i}-2 \overline{j}+\overline{k} and -\overline{i}+3 \overline{j}+\overline{k} be a normal to the plane \pi_{2}. If the angle between the planes \pi_{1} and \pi_{2} is \theta then \cos \theta=

TS EAMCET 20-July-2022 Shift 2 Solved Paper

Section: Mathematics

Question : 33 of 160

Marks: +1, -0

Let π1 be a plane passing through the point i+j+k and perpendicular to the vector −j+2k. Let the line L passing through the points 3i−2j+k and −i+3j+k be a normal to the plane π2. If the angle between the planes π1 and π2 is θ then cos‌θ=

√‌
5
41
‌
−14
√205
‌
π
4
‌
π
2

Validate

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