Suppose 𝐵=(8,4) B = ( 8 , 4 ) and 𝐴𝐵−→−=⟨15,1⟩ A B → = ⟨ 15 , 1 ⟩ . Then

Question

Suppose 𝐵=(8,4) B = ( 8 , 4 ) and 𝐴𝐵−→−=⟨15,1⟩ A B → = ⟨ 15 , 1 ⟩ . Then A= ??

Answer 1

Let A ( x₁ , y₁ )

Then AB = < 8 - x₁ , 4 -y₁ > = < 15, 1>

Thus 8 - x₁ = 15 ⇒ x₁ = -7

and 4 -y₁ = 1 ⇒ y₁ = 3. Hence A ( -7 , 3 )