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

If  are Three Non-zero Non-null Vectors And  is Any Vector In Space, Then

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Question

Solution

Correct option is

We have,

Taking product successively with , we obtain

Substituting the values of xyz in (i), we get

SIMILAR QUESTIONS

Q1

The number of distinct values of λ, for which the vectors  are coplanar, is

Q2

If  are unit coplanar vectors, then

Q3

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

Q4

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

Q5

For any three vectors, , the value of

Q6

For any three vectors  the value of  is

Q7

are three non-coplanar vectors, then

Q8

are unit coplanar vectors, then the scalar triple product

Q9

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 =

Q10

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