Question

Знайдіть скалярний добуток векторів і . → (3; − 2) → (4; 5)​

Answer 1

ab=AxBx+AyBy=3*4+(-2)*5=12-10=2

Answer 2

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To answer your question, the scalar product of two vectors is defined as $$\vec{a} \cdot \vec{b} = |\vec{a}| |\vec{b}| \cos \theta$$ where $$\theta$$ is the angle between the vectors, and $$|\vec{a}|$$ and $$|\vec{b}|$$ are the magnitudes of the vectors. To find the scalar product of $$\vec{a} = (3, -2)$$ and $$\vec{b} = (4, 5)$$, we can use the formula $$\vec{a} \cdot \vec{b} = a_x b_x + a_y b_y$$ where $$a_x$$, $$a_y$$, $$b_x$$, and $$b_y$$ are the components of the vectors. Plugging in the values, we get $$\vec{a} \cdot \vec{b} = 3 \times 4 + (-2) \times 5 = 12 - 10 = 2$$. Therefore, the scalar product of the vectors is 2.Ответь+подробно.++Знайдіть+скалярний+добуток+векторів+і+.+→+(3;+−+2)+→+(4;+5)​+