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## Question

### Solution

Correct option is

Collinear

We have,

Since the initial point of  is the terminal point of

Hence A, B, C are collinear.

#### SIMILAR QUESTIONS

Q1

If G is the centroid of a triangle ABC, then  equals

Q2

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

Q3

If O and O denote respectively the circum-centre and orthocentre ofâˆ†ABC, then

Q4

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

Q5

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

Q6

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

Q7

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

Q8

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

Q9

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

If the position vector of the three points are ,

then the three points are