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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

Grade:

1 Answers

Sourabh Singh IIT Patna
askIITians Faculty 2104 Points
5 years ago
Use STP and you will get the answer as √3/2. Angle between every side is 600


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