Vectors Review

Which vector has a magnitude: 422 and a direction angle: 287°?

• -403.561i + 123.380j

• 123.380i - 403.561j

• 123.380i + 403.561j

• -123.380i - 403.561j

Which is the vector in component form if the initial point is (-1,5) and the terminal point is (6,8)?

• <-3, -7>

• <3, -7>

• <-3, 7>

• <7, 3>

Write the given vector as a linear combination of i and j .

• 4j

• 8i + 2j

• 2i + 8j

• 2j

Calculate the component form of the vector shown

• < 63.894 , 44.739>

• <7.277 , 34.235>

• < -63.894 , 44.739>

• <-7.277 , 34.235>

Given A (3, 7) and B(-5, 4) what is the direction of vector  $\overrightarrow{AB}$  ?  Round to three decimal places, do not enter degree symbol.

Which is the vector with a magnitude of 4 in the direction of 150^o?

• $-2\sqrt{3}i+2j$

• $2\sqrt{3}i-2j$

• $-2\sqrt{2}i+2\sqrt{2}j$

• $-2\sqrt{3}i-2j$

Vector $\overrightarrow{v}$ has initial point (2, x) and terminal point (-4, 1).   $\left|v\right|=\sqrt{40}$ . What is the value of x?  Select all that apply

• -1

• 1

• -3

• 3

Find the magnitude of AB if the initial point is (-3, 1) and the terminal point is (3, 9). Numeric answer only.

the direction (θ) for vector v. Round to three decimals.

• -74.054^o
• 105.945^o
• -15.945^o
• 164.055^o

Find the magnitude of the vector  $-4i-6j$  .

• 7.211

• 52

• 3.162

• 4.472