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Evaluate the dot product of [tex](2, 4)[/tex] and [tex](1, -2)[/tex].

Answer here: _______________

Sagot :

GinnyAnsweridn
To find the dot product of the vectors [tex]\((2, 4)\)[/tex] and [tex]\((1, -2)\)[/tex], follow these steps:

1. Identify the components of the vectors:
- The first vector is [tex]\((2, 4)\)[/tex].
- The second vector is [tex]\((1, -2)\)[/tex].

2. Multiply the corresponding components of the vectors:
- Multiply the first components: [tex]\(2 \times 1 = 2\)[/tex].
- Multiply the second components: [tex]\(4 \times -2 = -8\)[/tex].

3. Add the products obtained from the previous step:
- Sum the products: [tex]\(2 + (-8)\)[/tex].

4. Calculate the result:
- [tex]\(2 - 8 = -6\)[/tex].

Hence, the dot product of the vectors [tex]\((2, 4)\)[/tex] and [tex]\((1, -2)\)[/tex] is [tex]\(-6\)[/tex].
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