\overline{i}-2 \overline{j} is a point on the line parallel to the vector 2 \overline{i}+\overline{k}. If \overline{i}+2 \overline{j} is a point on the plane parallel to the vectors 2 \overline{j}-\overline{k} and \overline{i}+2 \overline{k}, then the point of intersection of the line and the plane is [AP EAPCET 22 May 2025 S1]

Correct Answer is : −13(i+6j+2k)

-\frac{1}{3}(\overline{i}+6 \overline{j}+2 \overline{k})

\frac{1}{3}(\overline{i}+6 \overline{j}+2 \overline{k})

-\frac{1}{3}(\overline{i}-6 \overline{j}+2 \overline{k})

\frac{1}{3}(\overline{i}-6 \overline{j}+2 \overline{k})

Three Dimensional Geometry

Section: Mathematics

Question : 17 of 58

Marks: +1, -0

i−2j is a point on the line parallel to the vector 2i+k. If i+2j is a point on the plane parallel to the vectors 2j−k and i+2k, then the point of intersection of the line and the plane is

[AP EAPCET 22 May 2025 S1]

−‌
1
3
(i+6j+2k)
‌
1
3
(i+6j+2k)
−‌
1
3
(i−6j+2k)
‌
1
3
(i−6j+2k)

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