Q23 of 24 Page 1008

If and A(1, 2, -1) is the given point, find the coordinates of B.


A = (1,2,-1)


Let the co-ordinates of point B be (b1,b2,b3)




Comparing the respective co-efficient,


b1-1 = 2 i.e. b1 = 3


b2-2 = 1 i.e. b2 = 3


b3+1 = -3 i.e. b3 = -4


The required co-ordinates of B are (3,3,-4)


More from this chapter

All 24 →
20

The position vectors of two points A and B are and respectively. Find the position vector of a point C which divides AB externally in the ratio 1 : 2. Also, show that A is the mid-point of the line segment CB.

 21

Find the position vector of a point R which divides the line joining A(-2, 1, 3) and B(3, 5, -2) in the ratio 2 : 1 (i) internally (ii) externally.

 22

Find the position vector of the mid-point of the vector joining the points and

24

Write a unit vector in the direction of where P and Q are the points (1, 3, 0) and (4, 5, 6) respectively.