IB Mathematics Applications & Interpretation Question Type 1: for Given 2 Points, Calculating the Distance Between the Two Points Exercises

Calculate the distance between $(-1,2,3)$ and $(4,-3,8)$.

Compute the distance from the point $(7,8,9)$ to the midpoint of the points $(1,2,3)$ and $(4,5,6)$.

Find the midpoint of $(2,-5,4)$ and $(-3,7,-1)$.

Find the midpoint of the diagonal connecting $(0,0,0)$ and $(5,5,5)$ in a cube of side length 5.

Calculate the distance between $(\frac{1}{2},-\frac{2}{3},\frac{1}{4})$ and $(\frac{3}{2},\frac{1}{3},\frac{3}{4})$.

Calculate the distance between the points $(5,6,7)$ and $(9,2,5)$.

Calculate the distance between $(1.5,-2.5,3.5)$ and $(-0.5,4.5,-1.5)$.

Find the midpoint of the points $(a,b,c)$ and $(-a,b,-c)$ in terms of $a,b,c$.

Use the distance formula to verify whether the points $(1,2,3)$, $(4,5,6)$, and $(7,8,9)$ are collinear.

Find the coordinates of the midpoint of the line segment joining the points $(5,6,7)$ and $(9,2,5)$.

Find the midpoint of $(1.5,-2.5,3.5)$ and $(-0.5,4.5,-1.5)$.

Find the midpoint of the points $(1,-1,2)$ and $(5,3,8)$.

Find the distance between the opposite vertices $(0,0,0)$ and $(5,5,5)$ of a cube of side length 5.

Given that the midpoint of points $P$ and $Q$ is $M=(4,-1,2)$ and $P=(2,3,-4)$, find the coordinates of $Q$.