The edges of a parallelopiped are of unit length and are parallel to non-coplanarunit vectors a^ , b^ , c^ such that a^.b^ = b^.c^ = c^.a^ = 1/2. Then, the volume of parallelopiped is :-

(a) 1/?2

(b) 1/2?2

(c) ?3/2

(d) 1/?3

Question

Sourabh Singh · Answer

Use STP and you will get the answer as &radic;3/2. Angle between every side is 60 0

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The edges of a parallelopiped are of unit length and are parallel to non-coplanarunit vectors a^ , b^ , c^ such that a^.b^ = b^.c^ = c^.a^ = 1/2. Then, the volume of parallelopiped is :- (a) 1/?2 (b) 1/2?2 (c) ?3/2 (d) 1/?3

The edges of a parallelopiped are of unit length and are parallel to non-coplanarunit vectors a^ , b^ , c^ such that a^.b^ = b^.c^ = c^.a^ = 1/2. Then, the volume of parallelopiped is :-

(a) 1/?2

(b) 1/2?2

(c) ?3/2

(d) 1/?3

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The edges of a parallelopiped are of unit length and are parallel to non-coplanarunit vectors a^ , b^ , c^ such that a^.b^ = b^.c^ = c^.a^ = 1/2. Then, the volume of parallelopiped is :- (a) 1/?2 (b) 1/2?2 (c) ?3/2 (d) 1/?3

The edges of a parallelopiped are of unit length and are parallel to non-coplanarunit vectors a^ , b^ , c^ such that a^.b^ = b^.c^ = c^.a^ = 1/2. Then, the volume of parallelopiped is :- (a) 1/?2 (b) 1/2?2 (c) ?3/2 (d) 1/?3

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The edges of a parallelopiped are of unit length and are parallel to non-coplanarunit vectors a^ , b^ , c^ such that a^.b^ = b^.c^ = c^.a^ = 1/2. Then, the volume of parallelopiped is :-

(a) 1/?2

(b) 1/2?2

(c) ?3/2

(d) 1/?3