Question

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

Solution

Correct option is

 

We have,

            

                                                                                                                                          

SIMILAR QUESTIONS

Q1

Let  be the angle bisector of A of ∆ABC such that  then

Q2

Let D, E, F be the middle points of the sides BC, CA, AB respectively of a triangle ABC. Then,  equals

Q3

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

Q4

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

Q5

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

Q6

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

Q7

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,  

Q8

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

Q9

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

Q10

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