Find the coordinates of the points which trisect the line segment `A B ,` given that `A(2,1,-3)n d B(5,-8,3)dot`

Explanation

Line AB is divided into three equal parts i.e, AC,CD,DB
for point C the ratio we take is 1:2

By section formula:`x=((​m_1​x_2+m_2​x_1)​​)/(m_1​+m_2)=(1.5+2.2​)/(1+2)=3`

`y=​(m_1​y_2​+m_2​y_1)/(​​m_1​+m_2)=(1(−8)+2.1)/(1+2)​=−2
`

`z=​(m_1​z_2​+m_2​z_1)/(​​m_1​+m_2)=(1.3+2(−3))/(1+2)​=−1`


for point D the ratio we take is 2:1

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