If a, b and c are the three vectors mutually perpendicular to each other to form a right handed system and `|a|=1, |b|=3 and |c|=5`, then `[a-2b b-3c c-4a]` is equal to

If a, b and c are the three vectors mutually perpendicular to each oth

1.	If a, b and c are the three vectors mutually perpendicular to each other to form a right handed system and `\|a\|=1, \|b\|=3 and \|c\|=5`, then `[a-2b b-3c c-4a]` is equal to
Answer» Correct Answer - C Given that, `\|a\|=1, \|b\|=3` and `\|c\|=5` `:. [(a-2b,b-3c,c-4a)]` `=(a-2b).{(b-3c)xx(c-4a)}` `=(a-2b). {bxxc-4bxx +12 xx}` `=(a-2b).(a+4c+12b)` `=a.a-24b.b=1-24xx9` `=1-216=-215`

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If a, b and c are the three vectors mutually perpendicular to each other to form a right handed system and `|a|=1, |b|=3 and |c|=5`, then `[a-2b b-3c c-4a]` is equal to

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