Question

Find the magnitude of vector v with initial point (8, -6) and terminal point (-2, 4)

Answer 1

To find the magnitude of vector v, use the distance formula to calculate the distance between the initial and terminal points.

Step-by-step explanation:

To find the magnitude of vector v with initial point (8, -6) and terminal point (-2, 4), we can use the distance formula. The distance formula is given by:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Substituting the values from the given points, we get:

d = sqrt((-2 - 8)^2 + (4 - (-6))^2)

d = sqrt((-10)^2 + (10)^2)

d = sqrt(100 + 100)

d = sqrt(200)

d = 14.1

Therefore, the magnitude of vector v is 14.1.