Let \pi_{1} be the plane passing through the point 2 \overline{i}-\overline{j}+\overline{k} and perpendicular to the vector a \overline{i}+2 \overline{j}-3 \overline{k} and \pi_{2} be the plane passing through the point \overline{i}+2 \overline{j}-\overline{k} and perpendicular to the vector \overline{i}-2 \overline{j}+\overline{k}. If \theta is the angle between the planes \pi_{1} and \pi_{2} and \cos \theta=-\sqrt{\frac{3}{7}}, then the integral value of a is

TS EAMCET 18-July-2022 Shift 2 Solved Paper

Section: Mathematics

Question : 33 of 160

Marks: +1, -0

Let π1 be the plane passing through the point 2i−j+k and perpendicular to the vector ai+2j−3k and π2 be the plane passing through the point i+2j−k and perpendicular to the vector i−2j+k. If θ is the angle between the planes π1 and π2 and cos‌θ=−√‌

, then the integral value of a is

−2
−1
2
1

Validate

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