Vectors: Linear Combinations & Trig Forms

Which of the following represent a horizontal standard unit vector? Select all that apply.

• $i$

• $j$

• $<0,\ 1>$

• $<1,\ 0>$

• $<1,\ 1>$

Which of the following represent a vertical standard unit vector? Select all that apply.

• $i$

• $j$

• $<1,\ 0>$

• $<0,\ 1>$

• $<1,\ 1>$

Which of the following represents a vector that goes down 4 and right 3?  Select all that apply. 

•  $3i-4j$  

•  $-4i+3j$  

•  $<3,\ -4>$  

•  $<-4,\ 3>$  

Tags

CCSS.HSN.VM.A.1

Which of the following represents a vector that travels left 1 and up 1?  Select all that apply. 

•  $i-j$  

•  $-i+j$  

•  $<-1,\ 1>$  

•  $<1,\ -1>$  

Which of the following represent  $\parallel p\parallel=9$  and  $\theta=90\degree$  
Select all that apply

•  $9i$  

•  $9j$  

•  $<0,\ 9>$  

•  $<9,\ 0>$  

Tags

CCSS.HSN.VM.A.1

Which of the following represents  $\parallel q\parallel=12$  and  $\theta=180\degree$  

•  $12i$  

•  $12j$  

•  $-12i$  

•  $-12j$  

Which of the following represent  $\parallel m\parallel=5$  and  $\theta=270\degree$  
Select all that apply

•  $-5i$  

•  $-5j$  

•  $<0,\ -5>$  

•  $<-5,\ 0>$  

Tags

CCSS.HSN.VM.A.2

 Find the component form of the vector $\parallel m\parallel=18$  and  $\theta=300\degree$  

•  $<9\sqrt{3},\ -9>$  

•  $<-9\sqrt{3},\ 9>$  

•  $<9,\ -9\sqrt{3}>$  

•  $<-9,\ \ 9\sqrt{3}>$  

Tags

CCSS.HSN.VM.A.2

 Find the component form of the vector $\parallel k\parallel=20$  and  $\theta=40\degree$  
Select all that apply

•  $<15.32,\ 12.86>$  

•  $<12.86,\ 15.32>$  

•  $<20\cos40\degree,\ \ 20\sin40\degree>$  

•  $<20\sin40\degree,\ 20\cos40\degree>$  

 $m=<-5,\ -5>$  Write the vector in trigonometric form.

•  $<5\sqrt{2}\cos45\degree,\ 5\sqrt{2}\sin45\degree>$  

•  $<-5\sqrt{2}\cos45\degree,\ -5\sqrt{2}\sin45\degree>$  

•  $<5\sqrt{2}\cos225\degree,\ 5\sqrt{2}\sin225\degree>$  

•  $<-5\sqrt{2}\cos225\degree,\ -5\sqrt{2}\sin225\degree>$