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Test-Q-If-a-b-11-2a-3b-i-2j-3k-then-2a-a-b-3b-1-5-2




Question Number 172065 by mnjuly1970 last updated on 23/Jun/22
       Test :    Q :   If ,  ∣a^→  × b^→ ∣ = (√(11))   ,   2a^→  + 3b^→ = i^→ + 2j^→ + 3k^(→ )                then   :   ∣  2a^→  + a^→ ×b^→  + 3b^→  ∣ = ?         1 ::       5   □                       2 ::       3  □               3::         9 □                       4::        7  □                     −−−−−−−−−−−−−−
$$ \\ $$$$\:\:\:\:\:\mathrm{Test}\:: \\ $$$$\:\:\mathrm{Q}\::\:\:\:\mathrm{If}\:,\:\:\mid\overset{\rightarrow} {\mathrm{a}}\:×\:\overset{\rightarrow} {\mathrm{b}}\mid\:=\:\sqrt{\mathrm{11}}\:\:\:,\:\:\:\mathrm{2}\overset{\rightarrow} {\mathrm{a}}\:+\:\mathrm{3}\overset{\rightarrow} {\mathrm{b}}=\:\overset{\rightarrow} {\mathrm{i}}+\:\mathrm{2}\overset{\rightarrow} {\mathrm{j}}+\:\mathrm{3}\overset{\rightarrow\:} {\mathrm{k}} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{then}\:\:\::\:\:\:\mid\:\:\mathrm{2}\overset{\rightarrow} {\mathrm{a}}\:+\:\overset{\rightarrow} {\mathrm{a}}×\overset{\rightarrow} {\mathrm{b}}\:+\:\mathrm{3}\overset{\rightarrow} {\mathrm{b}}\:\mid\:=\:? \\ $$$$\:\:\:\:\:\:\:\mathrm{1}\:::\:\:\:\:\:\:\:\mathrm{5}\:\:\:\Box\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{2}\:::\:\:\:\:\:\:\:\mathrm{3}\:\:\Box\:\:\:\:\: \\ $$$$\:\:\:\:\:\:\:\:\mathrm{3}::\:\:\:\:\:\:\:\:\:\mathrm{9}\:\Box\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{4}::\:\:\:\:\:\:\:\:\mathrm{7}\:\:\Box\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:−−−−−−−−−−−−−− \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\: \\ $$$$ \\ $$
Answered by greougoury555 last updated on 23/Jun/22
Commented by mnjuly1970 last updated on 23/Jun/22
   bravo sir ...
$$\:\:\:{bravo}\:{sir}\:… \\ $$

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