To find [tex]\(-2v\)[/tex] for the given vector [tex]\(v = \langle -3, -3 \rangle\)[/tex], we need to perform a scalar multiplication on the vector.
1. Start with the vector [tex]\(v = \langle -3, -3 \rangle\)[/tex].
2. Multiply each component of vector [tex]\(v\)[/tex] by [tex]\(-2\)[/tex].
The steps for each component are as follows:
1. For the first component: [tex]\(-2 \times -3 = 6\)[/tex]
2. For the second component: [tex]\(-2 \times -3 = 6\)[/tex]
So the resulting vector after scaling by [tex]\(-2\)[/tex] is [tex]\(\langle 6, 6 \rangle\)[/tex].
Answer: [tex]\(6, 6\)[/tex]
