Given AB with A <2, 7,-5> and B <-3,-8, 0>, find the coordinates of C if C divides AB one fifth of the way from A to B.

(1,4,-4).

Step-by-step explanation:

Note: Consider A(2, 7,-5) and B (-3,-8, 0).

Section formula: If a point divides a line segment in m:n, then coordinates of that point are

It is given that C divides AB one fifth of the way from A to B. It means AC:AB=1:5

AC:CB=1:(5-1)=1:4

Using the above formula, we get

Therefore, the coordinates of C are (1,4,-4).

step-by-step explanation:

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