InterviewSolution
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InterviewSolution
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Show that a.(bxxc) is equal in magnitude to the volume of the parallelopiped formed on the three vectors a, b and c. |
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Answer» Solution :Let a parallelopiped be formed on threevectors ` vec(OA) = vec a, vec(OB) = vecb, vec(OC) = vecc` Now, `vecbxxvecc = bc sin 90^@ hatn = bc hatn`  where `hatn`is the UNIT vector along `BAR(OA)`perpendicular to the plane containing ` vecb " and " vecc` Nom, ` veca.(vecbxx vecc) a veca. bc hatn = (a)(bc)cos 0^@ = abc` Which is EQUAL is magnitude to the VOLUME of parallelopiped . |
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