Let 𝑣⃗ be the vector from initial point 𝑃 to terminal point 𝑄.

Question

Let 𝑣⃗ be the vector from initial point 𝑃 to terminal point 𝑄.

𝑃(7,−2) and 𝑄(6,3)

a.) Write 𝑣⃗ in terms of 𝑖⃗ and 𝑗⃗.

b.) Find the unit vector that has the same direction as vector 𝑣⃗.

Hello! For this problem, I am confused about what to be solving for. Any help, please :)

Answer 1

a) v = (6 - 7)i + (3 - (- 2))j = - i + 5j

b) u = v/IIvII = (- i + 5v)/√(- 1)² + 5² = - 1/√26i + 5/√26j