Use the dot product to find $ |\mathbf{v}| $
-$$v = 2 i$$
A) $- 2$
B) 4
C) 0
D) 2

Name: Use the dot product to find $ |\mathbf{v}| $ -\[v = 2 i\] A) $- 2$ B) 4 C) 0 D) 2
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Question

Quizplus · Accepted Answer

The magnitude of a vector $ \mathbf{v} = ai + bj $ is given by $ |\mathbf{v}| = \sqrt{a^2 + b^2} $. For $ \mathbf{v} = 2i $, we have $ a = 2 $ and $ b = 0 $, so $ |\mathbf{v}| = \sqrt{2^2 + 0^2} = \sqrt{4} = 2 $.

Use the Dot Product to Find ∣v∣ |\mathbf{v}| ∣v∣ - v=2iv = 2 iv=2i

Use the Dot Product to Find $|\mathbf{v}|$ - $v = 2 i$