Vectors

Given vector $u=<4,5>$  find  $2u$  

•  $<8,10>$  

•  $<2,\frac{5}{2}>$  

•  $<6,7>$  

•  $<8,5>$  

Given that v= $<2.5,7.5>$ , what is the directional angle of v?

• 18.4

• 71.6

• 70.5

• 19.5

Given the vector u, give the vertical and horizontal components.

• $<3,4>$

• $<4,3>$

• $<3.5,4.5>$

• Cannot be determined

Given vector v, find the direction angle.

• $\tan\theta=\frac{1}{4}$

• $\tan\theta=\frac{4}{1}$

• $\sin\theta=\frac{1}{4}$

• $\cos\theta=\frac{1}{4}$

• Need the value of the magnitude to determine

Given vector w, find the direction angle.

• $\tan\theta=\frac{-2}{-3}$

• $\tan\theta=\frac{-3}{-2}$

• $\left(\tan\theta=\frac{-2}{-3}\right)+180^o$

• $360^o-\left(\tan\theta=\frac{-2}{-3}\right)$

Given vector x, which color indicates the correct directional angle for the vector.

• red

• blue

• green

• none of the above

A direction angle must: (select all that apply)

• Be positive

• Be less that 270 degrees

• Start from 0 degrees

• not be an axis value

• be inside the triangle formed by the vector

Write the vector u $=<-2,5>$   in unit vector format.

• -2j+5i

• -2+5j

• -2i+5j

• -2i+0, 0+5j

Given v $=<6,-3>$  and u $=<9,4>$   find the value of v+u.

•  $<15,7>$  

•  $<-15,-7>$  

•  $<15,1>$  

•  $<4,1>$  

Given vectors u and v, find u+v

• Cannot be determined

• $<-1,8>$

• $<7,8>$

• $<8,-1>$