If \overline{a}=\overline{i}-2 \overline{j}-3 \overline{k}, \overline{b}=-2 \overline{i}+3 \overline{j}+4 \overline{k}, \overline{c}=5 \overline{i}-4 \overline{j}+3 \overline{k} and \overline{d}=3 \overline{i}+\overline{j}+5 \overline{k} are four vectors then (\overline{ {\a}} \times \overline{ {\b}}) \times(\overline{ {\c}} \times \overline{ {\d}})= [AP EAPCET 23 May 2025 S2]

18 \overline{ {\i}}+6 \overline{ {\j}}+30 \overline{ {\k}}

8 \overline{ {\i}}-3 \overline{ {\j}}+8 \overline{ {\k}}

19 \overline{ {\i}}-5 \overline{ {\j}}+21 \overline{ {\k}}

27 \overline{ {\i}}-8 \overline{ {\j}}+29 \overline{ {\k}}

AP EAPCET 23 May 2025 Shift 2 Paper

Section: Mathematics

Question : 32 of 160

Marks: +1, -0

If a=i−2j−3k,b=−2i+3j+4k,c=5i−4j+3k and d=3i+j+5k are four vectors then (a×b)×(c×d)=

[AP EAPCET 23 May 2025 S2]

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