Question

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

left angle bracket 4 comma 8 right angle bracket
Image with alt text: left angle bracket 4 comma 8 right angle bracket

left angle bracket 7 comma 5 right angle bracket
Image with alt text: left angle bracket 7 comma 5 right angle bracket

left angle bracket 3 comma 9 right angle bracket
Image with alt text: left angle bracket 3 comma 9 right angle bracket

left angle bracket 2 comma 18 right angle bracket

Answer 1

To find the sum of vectors \(\mathbf{u}\) and \(\mathbf{v}\), we simply add their corresponding components.

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

Now, we calculate \(\mathbf{u} + \mathbf{v}\):
\[
\mathbf{u} + \mathbf{v} = \langle 1 + 2, 3 + 6 \rangle = \langle 3, 9 \rangle
\]

Thus, the result of \(\mathbf{u} + \mathbf{v}\) is:
\[
\langle 3, 9 \rangle
\]

The correct response is:
\[
\text{left angle bracket 3 comma 9 right angle bracket}
\]