Question

A vector connects two points in a Cartesian plane. The vector goes from p1 to p2 where p1=(5,-π 3) and p2=(3,60o). What is the x component of this vector?

Answer 1

The x component of this vector is (-1î) unit

Step-by-step explanation:

Vector position of point 1 = x₁ = 5 (cos (-π/3)î + sin (-π/3)j) = (2.5î - 4.33j)

Vector position of point 2 = x₂ =3(cos 60°î + sin 60°j) = (1.5î + 2.598j)

Vector joining the two point, x₁₂ = x₂ - x₁ = (1.5î + 2.598j) - (2.5î - 4.33j) = - 1.0 î + 6.928j

The x component of this vector is -1î unit.