Vectors - Magnitude, Component Form, Geometry

Find the component form of  $\overrightarrow{AB}$   for B(-2, 6) and A(1, -10)

• < 3, -16 >

• < -3, 16 >

• < -1, -4 >

• < -5, -8 >

For v = < -4, 3 >, w = <-8, -2> and y = <12, -1> find 2w - v - 3y

• < -56, -4 >

• < -56, -10 >

• < -48, -10 >

• < -48, -4 >

Find the magnitude of v = <-3, 9>

• $6\sqrt{2}$

• $3\sqrt{10}$

• $\sqrt{6}$

• $2\sqrt{21}$

Find a unit vector in the same direction as w = <-2, 4 >

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

• $<\frac{-\sqrt{3}}{3},\ \frac{2\sqrt{3}}{3}>$

• $<-\sqrt{5},\ \frac{\sqrt{5}}{2}>$

• $<-\sqrt{3},\ \frac{\sqrt{3}}{2}>$

Find the component form of v with |v| = 6 and  $\theta\ =\ 240$  

•  $<-3,\ -3\sqrt{3}>$  

•  $<-3\sqrt{3},\ -3>$  

•  $<-3,\ -5.1>$  

•  $<-5.1,\ -3>$  

Find the direction of v = <5, -4>

• 141.340⁰

• 128.660⁰

• 308.660⁰

• 321.340^o

Given vector v on a coordinate grid, what effect would -v have?  

• Reflect over the x axis

• Reflect over the y axis

• Rotate 180 degrees

• Will point towards quadrant 3 or quadrant 4

Given parallelogram LMNO with diagonals intersecting at midpoint P, which is the result of LM + OL + NO?

• OL

• MN

• LM

• NO

Given parallelogram LMNO with diagonals intersecting at midpoint P, which is the result of PO - NP?

• 0

• MN

• PN

• LN

A vector has a negative horizontal component and a negative vertical component. Which correctly explains how to find the direction of this vector?

• Use inverse tangent, keeping this as your final answer

• Use inverse tangent, and then add 180

• Use inverse tangent, and then add 360

• Use inverse tangent, and then make your result negative.