Question

Solution

Correct option is We have,  where D is the mid-point of BC.   REMARK 2 we have,   Thus, position 0 vector of any point C on AB can always be taken as REMARK 3 we have,   Thus, n where C is a point on AB dividing it in the ratio m : n.

This result is often useful.

If C is the mid point of AB, then SIMILAR QUESTIONS

Q1

If ABCD is a rhombus whose diagonals cut at the origin O, then equals

Q2

If C is the midpoint of AB and P is any point outside AB, then

Q3

If the sum of two unit vectors is a unit vector, then the magnitude of their difference, is

Q4

The non-zero vectors are related by . Then the angle between Q5

If ABCDEF is a regular hexagon with Q6

If are the position vectors of A, B respectively and C is a point on AB produced such that AC = 3 AB, then the position vector of C is

Q7

Let be the angle bisector of A of âˆ†ABC such that then

Q8

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

Q9

Let ABC be a triangle having its centroid at G. If S is any point in the plane of the triangle, then Q10

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