If \overline{ {\a}}=2 \overline{ {\i}}-3 \overline{ {\j}}+4 \overline{ {\k}}, \overline{ {\b}}=\overline{ {\i}}+2 \overline{ {\j}}-\overline{ {\k}}, \overline{ {\c}}=3 \overline{ {\i}}-\overline{ {\j}}+2 \overline{ {\k}} and \overline{ {\d}}=\overline{ {\i}}+\overline{ {\j}}+\overline{ {\k}} are four vectors, then (\overline{a} \times \overline{b}) \times(\overline{c} \times \overline{d})= [AP EAPCET 21 May 2025 S1]

Correct Answer is : 31i−j+23k

17 \overline{ {\i}}-15 \overline{ {\j}}+9 \overline{ {\k}}

31 \overline{ {\i}}-\overline{ {\j}}+23 \overline{ {\k}}

17 \overline{ {\i}}-\overline{ {\j}}+23 \overline{ {\k}}

3 \overline{ {\li}}-15 \overline{ {\j}}+9 \overline{ {\k}}

AP EAPCET 21 May 2025 Shift 1 Paper

Section: Mathematics

Question : 33 of 160

Marks: +1, -0

If a=2i−3j+4k,b=i+2j−k,c=3i−j+2k and d=i+j+k are four vectors, then (a×b)×(c×d)=

[AP EAPCET 21 May 2025 S1]

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