Question

Given vector u=(1,5) and v=(-1,3) determine the value of v-2u in component form

Answer 1

To find v - 2u in component form, multiply u by 2 to get (2,10), then subtract this from v=(-1,3) to get the result of (-3, -7).

Step-by-step explanation:

To determine the value of v - 2u in component form, we first need to multiply vector u by 2 and then subtract this result from vector v. Vector u is given as (1,5), so multiplying by 2 gives us (2,10). Vector v is given as (-1,3).

Now, we subtract the components of 2u from the components of v:

• x-component: -1 - 2 = -3
• y-component: 3 - 10 = -7

Therefore, the vector v - 2u in component form is (-3, -7).