Question

Which of the following expressions are meaningful?

Solution

Correct option is

 & 

 

Since  is a vector. Therefore,  is a scalar quantity.

As,  is a scalar. Therefore,  is not meaningful.

But,  is a scalar multiple of . So, it is meaningful.  

Since  is a scalar. So,  is not meaningful.

SIMILAR QUESTIONS

Q1

 

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

   

Q2

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    

Q3

For three vectors  which of the following expressions is not equal to any of the remaining three?

Q4

 are linearly dependent vectors and , then

Q5

The volume of the tetrahedron whose vertices are the points with position vectors  and  is 11 cubic units if the value of λ is 

Q6

If a vector  is expressed as the sum of two vectors  along and perpendicular to a given vector 

Q7

 are two given vectors. On these vectors as adjacent sides a parallelogram is constructed. The vector which is the altitude of the parallelogram and which is perpendicular to  is not equal to

Q8

Let  be a unit vector and  a non-zero vector not parallel to . The angles of the triangle, two of whose sides are represented by