Exercises for Question Type 1: For given 2 points, calculating the distance between the two points

Question 1

Skill question

Calculate the distance between the points $(0, - 3, 7)$ and $(6, - 3, - 1)$ .

[2]

Question 2

Skill question

Calculate the distance between the points $(7, - 3, 2)$ and $(- 1, 6, - 4)$ .

[2]

Question 3

Skill question

Calculate the distance between the points $(- 1, - 2, - 3)$ and $(4, 5, 6)$ .

[2]

Question 4

Skill question

Calculate the distance between the points $(0, 0, 0)$ and $(3, 4, 12)$ .

[2]

Question 5

Skill question

Calculate the distance between the points $(- 5, 2, 0)$ and $(3, - 4, 6)$ .

[3]

Question 6

Skill question

Calculate the distance between the points $(1, 2, 3)$ and $(4, 6, 8)$ .

[2]

Question 7

Skill question

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

[2]

Question 8

Skill question

Calculate the distance between the points $(2.5, - 1.5, 4.2)$ and $(7.1, 3.9, - 2.6)$ .

[3]

Question 9

Skill question

Express the distance between $(a, b, c)$ and $(a + 4, b - 3, c + 12)$ in simplest form.

[3]

Question 10

Skill question

Express the distance between $(x_{1}, y_{1}, z_{1})$ and $(x_{1} + 3, y_{1} - 4, z_{1} + 5)$ in simplest form.

[2]

Question 11

Skill question

Calculate the distance between the points $(1, 1, 1)$ and $(4, 5, 9)$ .

[2]

Question 12

Skill question

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

[3]

IB Mathematics Analysis and Approaches Question Type 1: for Given 2 Points, Calculating the Distance Between the Two Points Exercises