Question

Find the point which divides the line segment joining the points

(-4, 2) and (2, 0) in the ratio 1:1.​

Answer 1

Answer:

ANSWER

Let A be (4,−2,5) and B be (−2,3,7)

Let P(x,y,z) be points that divide the line in ratio 8:5 externally.

we know that

Co-ordinate of point P(x,y,z) that divides the line segment joining A(x

1

,y

1

,z

1

) and B(x

2

,y

2

,z

2

)externally in the ratio

m:n is:

p(x,y,z)=(

m+n

mx

2

+nx

1

,

m+n

my

2

+ny

1

,

m+n

mz

2

+nz

1

)

=(

8+5

8.(−2)+5(4)

,

8+5

8(3)+5(−2)

,

8+5

8(7)+5(5)

)

=(

13

−16+20

,

13

24−10

,

13

56+25

)

=(

13

4

,

13

14

,

13

81

)

Step-by-step explanation:

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