Vectors
1 Use Magnitude and Direction to Show Vectors Are $u$

Multiple Choice

Vectors
1 Use Magnitude and Direction to Show Vectors are Equal
-Let vector $u$ have initial point $\mathrm { P } _ { 1 } = ( 0,2 )$ and terminal point $\mathrm { P } _ { 2 } = ( - 4,6 )$ . Let vector $\mathbf { v }$ have initial point $\mathrm { Q } _ { 1 } = ( 3,0 )$ and terminal point $\mathrm { Q } _ { 2 } = ( - 1,4 )$ . $\mathbf { u }$ and $\mathbf { v }$ have the same direction. Find $\| \mathbf { u } \mid$ and $\| \mathbf { v } \|$ . Is $\mathbf { u } = \mathbf { v }$ ?

A) $| \mathbf { u } | = 4 \sqrt { 2 } , \| \mathbf { v } \mid = 4 \sqrt { 2 }$ ; yes
B) $\| \mathrm { u } \| = 4 \sqrt { 2 } , \| \mathrm { v } \| = 4 \sqrt { 2 }$ ; no
C) $| \mathbf { u } | = 2 \sqrt { 2 } , \| \mathbf { v } \mid = 2 \sqrt { 2 }$ ; yes
D) $\| \mathbf { u } \| = 8 , | v | = 8$ ; no