Solve the problem.
-If $\mathbf { v } = - \mathbf { i } - \mathbf { j }$, find $\| \mathbf { v } \|$.
A) 0
B) $\sqrt { 2 }$
C) 2
D) 1

Question

Quizplus · Accepted Answer

The magnitude of a vector $\mathbf{v} = a\mathbf{i} + b\mathbf{j}$ is given by $\|\mathbf{v}\| = \sqrt{a^2 + b^2}$. For $\mathbf{v} = -\mathbf{i} - \mathbf{j}$, we have $a = -1$ and $b = -1$, so $\|\mathbf{v}\| = \sqrt{(-1)^2 + (-1)^2} = \sqrt{2}$.

Solve the Problem v=−i−j\mathbf { v } = - \mathbf { i } - \mathbf { j }v=−i−j

Solve the Problem $\mathbf { v } = - \mathbf { i } - \mathbf { j }$