Question

iven bold v equals left angle bracket 2 comma 6 right angle bracket and bold u equals left angle bracket 1 comma 3 right angle bracket, find bold u minus bold v.
(1 point)
Responses

left angle bracket negative 1 comma negative 3 right angle bracket
Image with alt text: left angle bracket negative 1 comma negative 3 right angle bracket

left angle bracket negative 2 comma negative 4 right angle bracket
Image with alt text: left angle bracket negative 2 comma negative 4 right angle bracket

left angle bracket negative 5 comma 1 right angle bracket
Image with alt text: left angle bracket negative 5 comma 1 right angle bracket

left angle bracket 2 comma 3 right angle bracket

Answer 1

To find \(\bold{u} - \bold{v}\), we subtract the components of \(\bold{v}\) from the components of \(\bold{u}\).

Given:
\[
\bold{u} = \langle 1, 3 \rangle
\]
\[
\bold{v} = \langle 2, 6 \rangle
\]

Now, we perform the subtraction:
\[
\bold{u} - \bold{v} = \langle 1 - 2, 3 - 6 \rangle
\]
Calculating each component:
\[
1 - 2 = -1
\]
\[
3 - 6 = -3
\]

Thus,
\[
\bold{u} - \bold{v} = \langle -1, -3 \rangle
\]

The correct answer is:
\[
\langle -1, -3 \rangle
\]