Use the dot product to find $ |\mathbf{v}| $
-$$\mathbf { v } = - 6 \mathbf { j }$$
A) 6
B) $- 6$
C) 0
D) 36

Name: Use the dot product to find $ |\mathbf{v}| $ -\[\mathbf { v } = - 6 \mathbf { j }\] A) 6 B) $- 6$ C) 0 D) 36
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Quizplus · Accepted Answer

The magnitude of a vector $ \mathbf{v} = a\mathbf{i} + b\mathbf{j} + c\mathbf{k} $ is given by $ |\mathbf{v}| = \sqrt{a^2 + b^2 + c^2} $. For $ \mathbf{v} = -6\mathbf{j} $, $ a = 0, b = -6, c = 0 $, so $ |\mathbf{v}| = \sqrt{0^2 + (-6)^2 + 0^2} = \sqrt{36} = 6 $.

Use the Dot Product to Find ∣v∣ |\mathbf{v}| ∣v∣ - v=−6j\mathbf { v } = - 6 \mathbf { j }v=−6j

Use the Dot Product to Find $|\mathbf{v}|$ - $\mathbf { v } = - 6 \mathbf { j }$