AMDM Question (Mathematics)

Question

A vector starts at point (-5, 6) and ends at point (8, -5). What is the magnitude of the vector? Answer to two decimal places.

Answer 1

Step 1: Define your variables (consider drawing a chart):

Given:

(x₁,y₁) = (-5, 6)

(x₂,y₂) = (8, -5)

Find:

Vector Magnitude - |v|

Step 2: Relevant Formulas

|v| = Sqrt{ (x₂-x₁)² + (y₂-y₁)² }

Step 3: Plug in Variables!

|v| = sqrt{ [8 - (-5)]² + [(-5)-6]²}

|v| = sqrt{ (13)² + (-11)² }

|v| = sqrt{ 169 + 121 }

|v| = sqrt{ 290 }

|v| = ~ 17.03