Question

If y =⟨ – 6, – 8⟩ and z =⟨ – 8, – 8⟩, find the difference y – z.

Answer 1

The difference between the vectors y = ⟨ –6, –8⟩ and z = ⟨ –8, –8⟩ is calculated by subtracting the components of z from y, resulting in the difference vector ⟨2, 0⟩.

Step-by-step explanation:

To find the difference between two vectors, y, and z, you subtract their corresponding components. The vector y is represented by ⟨ – 6, – 8⟩, and the vector z is represented by ⟨ – 8, – 8⟩. To find y – z, you subtract each component of z from the corresponding component of y:

• Difference in the first component: – 6 – (– 8) = – 6 + 8 = 2,
• Difference in the second component: – 8 – (– 8) = – 8 + 8 = 0.

So the difference y – z is the vector ⟨ 2, 0⟩.