If the vectors 2 \overline{i}+4 \overline{j}-3 \overline{k},-\overline{i}+2 \overline{j}+3 \overline{k} and p \overline{i}-2 \overline{j}+\overline{k} are coplanar, then the unit vector in the direction of the vector 9 {\p} \overline{ {\i}}-4 \overline{ {\j}}+4 \overline{ {\k}} is [AP EAPCET 24 May 2025 S1]

Correct Answer is : 19(−7i−4j+4k)

\frac{1}{6}(2 \overline{ {\i}}-4 \overline{ {\j}}+4 \overline{ {\k}})

{1}/{\sqrt{57}}(5 \overline{ {\i}}-4 \overline{ {\j}}+4 \overline{ {\k}})

{1}/{\sqrt{68}}(6 \overline{ {\i}}-4 \overline{ {\j}}+4 \overline{ {\k}})

\frac{1}{9}(-7 \overline{ {\i}}-4 \overline{ {\j}}+4 \overline{ {\k}})

AP EAPCET 24 May 2025 Shift 1 Paper

Section: Mathematics

Question : 31 of 160

Marks: +1, -0

If the vectors 2i+4j−3k,−i+2j+3k and pi−2j+k are coplanar, then the unit vector in the direction of the vector 9pi−4j+4k is

[AP EAPCET 24 May 2025 S1]

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