## Question

### Solution

Correct option is

Exactly one value of θ

It is given that = 1 and θ is the acute angle between  Now,   As θ is an acute angle. So, there is only one value of θ for which is a unit vector.

#### SIMILAR QUESTIONS

Q1

If , then the value of is equal to

Q2

Angle between vectors are unit vectors satisfying Q3

The values of ‘a’ for which the points ABC with position vectors respectively are the vertices of a right angled triangle with C = π/2 are

Q4

The vectors are the adjacent sides of a parallelogram. Then, the acute angle between its diagonals is

Q5

If are two vectors such that then angle between Q6

The values of x for which the angle between the vectors is acute, and the angle between the vector and the axis of ordinates is obtuse, are

Q7

The value of x for which the angle between and is obtuse and the angle between and the z-axis is acute and less than π/6, are

Q8

If are two unit vectors such that , then the angle between , is

Q9 , then the angle between Q10 