A vector starts at (1, 5) and terminates at (0, 0). A second vector starts at the origin and terminates at (-5, 0). What is the absolute difference in their m

Question

A vector starts at (1, 5) and terminates at (0, 0). A second vector starts at the origin and terminates at (-5, 0). What is the absolute difference in their magnitudes?

Round to 2 decimal places.

Answer 1

The magnitude of each vector is just the distance between the two points connecting them. 

first vector's distance (magnitude) = √ [(5-0)² +(1-0)²] = √26

second vector's distance (magnitude) = √ [(-5-0)2 +(0-0)2] = √25 = 5

difference between their magnitudes = √26 - 5 = 0.099  ≅ 0.10