Use the dot product to find $ |\mathbf{v}| $
-$$\mathbf { v } = \langle - 6 , - 8 \rangle$$
A) 10
B) 2
C) 14
D) 100

Name: Use the dot product to find $ |\mathbf{v}| $ -\[\mathbf { v } = \langle - 6 , - 8 \rangle\] A) 10 B) 2 C) 14 D) 100
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Question

Quizplus · Accepted Answer

The magnitude of a vector $\mathbf{v} = \langle a, b \rangle$ is given by $|\mathbf{v}| = \sqrt{a^2 + b^2}$. For $\mathbf{v} = \langle -6, -8 \rangle$, $|\mathbf{v}| = \sqrt{(-6)^2 + (-8)^2} = \sqrt{36 + 64} = \sqrt{100} = 10$.

Use the Dot Product to Find ∣v∣ |\mathbf{v}| ∣v∣ - v=⟨−6,−8⟩\mathbf { v } = \langle - 6 , - 8 \ranglev=⟨−6,−8⟩

Use the Dot Product to Find $|\mathbf{v}|$ - $\mathbf { v } = \langle - 6 , - 8 \rangle$