Find $$\| \mathbf { v } \|$$ .
-$$\mathbf { v } = 6 \mathbf { i } + 5 \mathbf { j } - 6 \mathbf { k }$$
A) $\sqrt { 97 }$
B) 5
C) $\sqrt { 61 }$
D) $\sqrt { 77 }$

Question

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 $\mathbf{v} = 6\mathbf{i} + 5\mathbf{j} - 6\mathbf{k}$, $\|\mathbf{v}\| = \sqrt{6^2 + 5^2 + (-6)^2} = \sqrt{36 + 25 + 36} = \sqrt{97}$.

Find ∥v∥\| \mathbf { v } \|∥v∥ - v=6i+5j−6k\mathbf { v } = 6 \mathbf { i } + 5 \mathbf { j } - 6 \mathbf { k }v=6i+5j−6k

Find $\| \mathbf { v } \|$
- $\mathbf { v } = 6 \mathbf { i } + 5 \mathbf { j } - 6 \mathbf { k }$