Vectors Progress Test

 $-\frac{5}{2}$ (j + k)

-5(i + j)

-2i  $-\frac{5}{2}$ j  $-\frac{5}{2}$ k

i +  $-\frac{1}{2}$ j  $-\frac{1}{2}$ k 

2i +  $\frac{1}{2}$ j  $-\frac{1}{2}$ k

-2i + 2j - k

 $\frac{1}{2}$  (-2i + 2j - k)

 $\frac{1}{3}$  (-2i + 2j - k)

 $\frac{1}{4}$  (-2i + 2j - k)

 $\frac{1}{5}$  (-2i + 2j - k)

0

$\frac{2}{3}$

1

2

$m\ =\ \frac{1}{\sqrt{5}}$ and $n\ =\ \frac{2}{\sqrt{5}}$

$m\ =\ -\frac{1}{\sqrt{5}}$ and $n\ =\ -\frac{2}{\sqrt{5}}$

$m\ =\ \frac{1}{\sqrt{3}}$ and $n\ =\ -\frac{2}{\sqrt{3}}$

$m\ =\ 2\$ and $n\ =\ 1$

m = 0

m = 3 and m = -2

m = -3 and m = 2

m = 3

m = -2

The vectors a and b have the same length

The angle between vectors a and b is  $60\degree$ 

The vector a + c is parallel to the vector a - b

c = 2a - 3b

The vectors a, b, and c are linearly independent

$\left|\overline{AB}\right|\left|\overline{AC}\right|\ =\ \overline{AB}\ .\ \overline{AC}$ and $\left|\overline{AB}\right|\ =\ \left|\overline{BC}\right|$

$\left|\overline{AB}\right|\left|\overline{AC}\right|\ =\ \sqrt{2}\overline{AB}\ .\ \overline{AC}$ and $\left|\overline{AB}\right|\ =\ \left|\overline{BC}\right|$

$\left|\overline{AB}\right|\ =\ \left|\overline{BC}\right|$ and $\overline{AB}\ .\ \overline{AC}\ =\ 0$

$\overline{AB}+\overline{BC}+\overline{CA}\ =\ \overrightarrow{0}$ and $\overline{BA}\ .\ \overline{BC}\ =\ 0$

$\overline{AB}\ +\ \overline{BC}\ +\ \overline{CA}\ =\ \overrightarrow{0}$ and $\left|\overline{AB}\right|\ =\ \left|\overline{BC}\right|$

a is a unit vector and |b - a| =  $\sqrt{3}$  

a is perpendicular to the vector b and the length of the vector b is 2

a is perpendicular to the vector b and |b - a| = 3

a is parallel to the vector b and |b - a| =  $\sqrt{3}$  

a is parallel to the vector b and the length of the vector b is  $\sqrt{2}$  

0

2L

 $\sqrt{2}$  L

L $\sin\left(\theta\right)$  

2L $\sin\left(\frac{\theta}{2}\right)$  

The vectors a, b, and c are linearly dependent

The vector c is the scalar resolute of the vector a parallel to the vector b

The vector c is the vector resolute of the vector a parallel to the vector b

The vector c is the vector resolute of the vector a perpendicular to the vector b

The vector c is parallel to the vector a + b