Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Let
A
(
2
,
−
1
,
4
)
A(2,-1,4)
A
(
2
,
−
1
,
4
)
and
B
(
5
,
3
,
−
2
)
B(5,3,-2)
B
(
5
,
3
,
−
2
)
be two points in space. a. (i) Find the position vector of the point
P
P
P
which divides the segment
A
B
AB
A
B
internally in the ratio
3
:
2
3:2
3
:
2
. b. (ii) Hence determine the exact coordinates of
P
P
P
and the length of
P
B
PB
P
B
.
Browse the problem library