Question

 

If the position vector of the three points are ,

 then the three points are 

Solution

Correct option is

Collinear

 

Let P, Q, R be the given points. Then, we have 

           

Hence, P, Q, R are collinear.

SIMILAR QUESTIONS

Q1

Let ABC be a triangle having its centroid at G. If S is any point in the plane of the triangle, then 

Q2

If O and O denote respectively the circum-centre and orthocentre of∆ABC, then 

Q3

If O and O denote respectively the circum-centre and orthocenter of âˆ†ABC, then  

Q4

Consider âˆ†ABC and ∆A1B1C1 in such a way that  and M, N, M1, N1 be the mid-point of AB, BC, A1B1 and B1C1 respectively. Then,  

Q5

Let ABCD be a parallelogram whose diagonals intersect at P and let O be the origin, then  equals

Q6

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

Q7

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

Q8

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

Q10

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