Question

Find 3v - 4w if v = -3i and w=-i + 5j. Use < > for
vector notation.

Answer 1

`<-5, 20>`

Explanation:

What we're given:

• 
  `\vec{v}=-3i`
• 
  `\vec{w}=-i+5j`

The vector
`3v-4w` is then
`3(-3i)-4(-i+5j)=-9i+4i-20j=-5i+20j\implies \boxed{<-5, 20>}`