Find a· b.
-$$\mathbf { a } = \langle 3,10 \rangle , \mathbf { b } = \langle 2 , - 3 \rangle$$
A) $\langle 5,7 \rangle$
B) $\langle 6 , - 30 \rangle$
C) $- 24$
D) $- 36$

Question

Quizplus · Accepted Answer

The dot product of two vectors $\mathbf{a} = \langle a_1, a_2 \rangle$ and $\mathbf{b} = \langle b_1, b_2 \rangle$ is calculated as $a_1 \cdot b_1 + a_2 \cdot b_2$. For $\mathbf{a} = \langle 3,10 \rangle$ and $\mathbf{b} = \langle 2, -3 \rangle$, the dot product is $3 \cdot 2 + 10 \cdot (-3) = 6 - 30 = -24$.

Find A· B - a=⟨3,10⟩,b=⟨2,−3⟩\mathbf { a } = \langle 3,10 \rangle , \mathbf { b } = \langle 2 , - 3 \ranglea=⟨3,10⟩,b=⟨2,−3⟩

Find A· B
- $\mathbf { a } = \langle 3,10 \rangle , \mathbf { b } = \langle 2 , - 3 \rangle$