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Question

Mathematics Question on Vectors

Let the vectors a,b,c\overrightarrow{ a} , \overrightarrow{ b}, \overrightarrow{ c} represent three coterminous edges of a parallelopiped of volume V. Then the volume of the parallelopiped, whose coterminous edges are represented by a,b,c\overrightarrow{ a} , \overrightarrow{ b}, \overrightarrow{ c} and a,2b,3c\overrightarrow{ a} ,2 \overrightarrow{ b},3 \overrightarrow{ c} is equal to

A

V

B

2 V

C

3 V

D

6 V

Answer

2 V

Explanation

Solution

The correct option is(B): 2 V