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Given vector [tex]v = \langle -3, -3 \rangle[/tex], find [tex]-2v[/tex].

Answer: [tex]\square, \square[/tex]


Sagot :

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]