Question

A unit vector making an obtuse angle with x-axis and perpendicular to the plane containing the points  also makes an obtuse angle with

Solution

Correct option is

z-axis

 

Let the given points be AB and C respectively. The unit vectors perpendicular to the plane containing AB and C are given by   

        

Since the required vector makes an obtuse angle with x-axis.

So, it is equal to   

Clearly, it also makes an obtuse angle with z-axis.

SIMILAR QUESTIONS

Q1

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  

Q2

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

Q3

, then the angle between  

Q4

If  are unit vectors and θ is the acute angle between them, then  is a unit vector for

Q6

 

For any vector   

                

Q7

 is equal to 

Q8

A unit vector perpendicular to the plane of  and  is 

Q9

The number of vectors of unit length perpendicular to the vectors  

Q10

 is a unit vector such that