﻿ The three concurrent edges of a parallelopiped represent the vectors  such that  Then, the volume of the parallelopiped whose three concurrent edges are the three diagonals of three faces of the given parallelepiped is     : Kaysons Education

The Three Concurrent Edges Of A Parallelopiped Represent The Vectors  such That  Then, The Volume Of The Parallelopiped Whose Three Concurrent Edges Are The Three Diagonals Of Three Faces Of The Given Parallelepiped Is

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Question

Solution

Correct option is

2V

The volume of the parallelopiped having concurrent edges as the diagonals of three faces of the given parallelopiped is given by

SIMILAR QUESTIONS

Q1

If the vectors  are non-coplanar and lmn are distinct scalars such that

Q2

If the vectors  are non-coplanar and lmn are distinct scalars such that

Q3

For any three vectors, , the value of

Q4

For any three vectors  the value of  is

Q5

are three non-coplanar vectors, then

Q6

are unit coplanar vectors, then the scalar triple product

Q7

Let  be three non-zero non-coplanar vectors and  be three vectors given by

If the volume of the parallelopiped determined by  is V1 and that of the parallelopiped determined by  is V2, then V2 : V1 =

Q8

If  are three non-zero non-null vectors and  is any vector in space, then

Q9

If  are three non-coplanar vectors represented by non-current edges of a parallelopiped of volume 4 units, then the value of

Q10

Which of the following expressions are meaningful?