Unit vector

A unit vector is a vector that is parallel to the given vector and has _____________.

• magnitude of 1

• the same direction

• the same size

Find a unit vector in the direction of <6, -8>

• $<\frac{3}{5},-\frac{4}{5}>$

• $<\frac{3}{50},-\frac{4}{50}>$

• $<\frac{1}{10},-\frac{1}{10}>$

• $<\frac{1}{6},\ -\frac{1}{8}>$

Find the unit vector in the direction of <4, -3>

• $<\frac{4}{5},\ -\frac{3}{5}>$

• <0.57, -0.43>

• $<\frac{1}{4},\ -\frac{1}{3}>$

• $<\frac{4}{25},\ -\frac{3}{25}>$

Find the unit vector in the direction of <-7, 0>

• -7
• -1
• <-1,0>
• <1,0>

Find the unit vector in the direction of <0, 12>

• 12

• 1

• <0, 1>

• <1,0>

Given vector < 5, 12>, find the unit vector.

You will find 2 answers, one exact answer and one decimal answer.

• $<\frac{1}{5},\ \frac{1}{12}>$

• $<\frac{5}{13},\ \frac{12}{13}>$

• $<0.2,\ 0.08>$

• $<0.38,\ 0.92>$

Find the unit vector for  $\overrightarrow{PQ}$ given 
P( 0,5) and Q( 1,7). 

•  $<-\frac{\sqrt{5}}{5},\ -\frac{2\sqrt{5}}{5}>$  

•  $<-\frac{1}{5},\ -\frac{2}{5}>$  

•  $<\frac{1}{5},\ \frac{2}{5}>$  

•  $<\frac{\sqrt{5}}{5},\frac{2\sqrt{5}}{5}>$  

A vector can be multiplied by a real number called a ____________. (use all lower case letters)

The sum of vectors v and w is represented by v+w. This is known as the _____________ vector. (use all lower case letters)

If w = <2, -5> and y = <2, 0>, find 2w + y

• <-10,2>
• <-6,10>
• <4,-5>
• <6,-10>