If 𝑃1 = (−4, 9) and 𝑃2 = (1, −3) and v is the vector from 𝑃1 to 𝑃2, write v in component form.

Answer 1

P1 = (-4 , 9)

P2 = (1 , -3)

IIP₁P₂II = sq root((-4-1)² + (9--3)²)

= sq root ((-5)² + (12)²)

= sq root (169)

=13

V = P₁P₂ = -5/13 i + 12 /13 j

Answer 2

x₁ = -4

y₁ = 9

x₂ = 1

y₂ = -3

v = (x₂ - x₁)i + (y₂ - y₁)j

Plug in the numbers.