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Question 11.4.1: Calculate the distance, d, between the points (1, 2,−3) and ......

Calculate the distance, d, between the points (1, 2,−3) and (−2, 4, 5).

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According to formula (11.4.3),

d={\sqrt{\left(x_{2}-x_{1}\right)^{2}+\left(y_{2}-y_{1}\right)^{2}+\left(z_{2}-z_{1}\right)^{2}}}      (11.4.3)

d={\sqrt{(-2-1)^{2}+(4-2)^{2}+(5-(-3))^{2}}}={\sqrt{(-3)^{2}+2^{2}+8^{2}}}={\sqrt{77}}\approx8.77

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