Q10 of 45 Page 1

L and M are two points with position vectors 2a-b and a+2b respectively. Write the position vector of a point N which divides the line segment LM in the ratio 2:1 externally.

Formula:- if vector and is divided by point N into m:n ratio



Given:-




Position vector of N which divides LM into 1:2


Let m:n = 2:1


Using Position vector formula





Position vector of N which divides LM into 2:1


Position vector







More from this chapter

All 45 →
29

Show that the differential equation is homogeneous. Find the particular solution of this differential equation, given that when x = 1.

 9

If matrix and A2 = λA, then write the value of λ.

 19

Using vectors, find the area of the triangle ABC, whose vertices are A (1, 2, 3), B (2, –1, 4) and C (4, 5, –1).

 20

Evaluate: