Points P and Q are given by \overline{O P}=\overline{i}-\overline{j}-\overline{k} and \overline{O Q}=-\overline{i}+\overline{j}+\overline{k}. A line along the vector \overline{a}=\overline{i}+\overline{j} passes through the point P and another line along the vector \overline{b}=\overline{j}-\overline{k} passes through the point Q. If a line along the vector \overline{c}=\overline{i}-\overline{j}+\overline{k} intersects both the lines along the vectors \overline{a} and \overline{b} at L and M respectively, then \overline{P M}= [AP EAPCET 22 May 2025 S1]

Correct Answer is : −2i+10j−6k

\overline{i}-\overline{j}+2 \overline{k}

-2 \overline{i}+10 \overline{j}-6 \overline{k}

3 \overline{i}-2 \overline{j}+\overline{k}

AP EAPCET 22 May 2025 Shift 1 Paper

Section: Mathematics

Question : 30 of 160

Marks: +1, -0

Points P and Q are given by OP=i−j−k and OQ=−i+j+k. A line along the vector a=i+j passes through the point P and another line along the vector b=j−k passes through the point Q. If a line along the vector c=i−j+k intersects both the lines along the vectors a and b at L and M respectively, then PM=

[AP EAPCET 22 May 2025 S1]

i−j+2k
4i+4j
−2i+10j−6k
3i−2j+k

Validate

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