Question

The sides of a parallelogram are  then the unit vector parallel to one of the diagonals is 

Solution

Correct option is

 

The diagonals of the parallelogram are

        

  

So, unit vectors along the diagonals are

    

SIMILAR QUESTIONS

Q1

If A, B, C, D be any four points and E and F be the middle points of AC and BD respectively, then  is equal to

Q2

Given that the vectors  are non-collinear, the values of x and yfor which the vector equality  holds true if  are  

Q3

Let  be three non-zero vectors, no two of which are collinear. If the vector  is collinear with  is collinear with  is equal to 

Q5

 

If the position vector of the three points are ,

 then the three points are 

Q6

Three points with position vectors  will be collinear, if there exist scalars xyz such that   

Q7

The position vectors of the vertices ABC of a âˆ†ABC are  respectively. The length of the bisector AD of the angle BAC where D is on the line segment BC, is     

Q8

 

Consider points ABC and D with position vectors 

 respectively. Then, ABCD is a   

Q9

If the vectors  are the sides of a âˆ†ABC, then length of the median through A is 

Q10

If the points  are collinear, where  are three non-coplanar vectors, the value of t is