Question

Write
ST
in component form, with S(
–
10,
–
5) and T(
–
6,
–
8).
ST
=
<___,___>

Answer 1

To find the vector \( \overrightarrow{ST} \) in component form, we use the formula:

\[
\overrightarrow{ST} = T - S
\]

Where \( S(-10, -5) \) and \( T(-6, -8) \).

Now we can calculate the components:

\[
\overrightarrow{ST} = (-6 - (-10), -8 - (-5))
\]

Calculating each component:

1. For the x-component:
\[
-6 - (-10) = -6 + 10 = 4
\]

2. For the y-component:
\[
-8 - (-5) = -8 + 5 = -3
\]

Therefore, the vector \( \overrightarrow{ST} \) in component form is:

\[
\overrightarrow{ST} = \langle 4, -3 \rangle
\]

So the answer is:

\[
ST = \langle 4, -3 \rangle
\]