Find $| \mathrm { v } |$ and $| \mathbf { u } + \mathbf { v } |$
, given that $\mathbf { u } = - \mathbf { j }$
And $\mathbf { v } = \mathbf { i }$
A) $| \mathrm { v } | = 1$
, $| \mathbf { u } + \mathrm { v } | = \sqrt { 2 }$
B) $| v | = - 1$
, $| \mathbf { u } + \mathbf { v } | = - \sqrt { 2 }$
C) $| \mathrm { v } | = \sqrt { 2 }$
, $| \mathbf { u } + \mathbf { y } | = 1$
D) $| \mathrm { v } | = \sqrt { 2 }$
, $| \mathbf { u } + \mathrm { v } | = \sqrt { 2 }$
E)none

Question

Quizplus · Accepted Answer

Since $\mathbf{u} = -\mathbf{j}$ and $\mathbf{v} = \mathbf{i}$, we have:
$$|\mathbf{v}| = |\mathbf{i}| = 1$$
$$|\mathbf{u} + \mathbf{v}| = |- \mathbf{j} + \mathbf{i}| = |\mathbf{i} - \mathbf{j}| = \sqrt{(\Delta x)^2 + (\Delta y)^2} = \sqrt{1^2 + (-1)^2} = \sqrt{2}$$

Find ∣v∣| \mathrm { v } |∣v∣ And ∣u+v∣| \mathbf { u } + \mathbf { v } |∣u+v∣

Find $| \mathrm { v } |$ And $| \mathbf { u } + \mathbf { v } |$