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Let A = (-1, 2) and B=(-2, 1) be points in R², and let C = (3,3, 4) and D= (1,2,3) be points in R3 = a. Find the distance between A and B



Answer :

IYesntMath

Answer:

Below

Step-by-step explanation:

Great! Let's solve this problem step by step. To find the distance between two points in a two-dimensional space (R²), we can use the distance formula:

Distance = √((x₂ - x₁)² + (y₂ - y₁)²)

Given:

Point A = (-1, 2)

Point B = (-2, 1)

Step 1: Identify the coordinates.

A: x₁ = -1, y₁ = 2

B: x₂ = -2, y₂ = 1

Step 2: Substitute the values into the distance formula.

Distance = √((-2 - (-1))² + (1 - 2)²)

Distance = √((-1)² + (-1)²)

Step 3: Simplify the expression under the square root.

Distance = √(1 + 1)

Distance = √2

Therefore, the distance between points A and B is √2 units.

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