Question

4 part question

Answer 1

any ideas?

generally vector notation is

<x,y>

where x represents the speed east or west (positive means east, negative means west)

y represents the speed north or south (positive means north, negative mans south)

Answer 2

there's also

__i + __j notation, idk which your teacher prefers

Answer 3

(200,23)?

Answer 4

almost, they want a separate vector for the plane and a separate vector for the wind

Answer 5

okay so (200,0) (0,23)

Answer 6

sure

Answer 7

oh, for II) they might want the total velocity of the plane with the wind included

so you would just add the two vectors <200,0> and <0,-23> together

Answer 8

would just be <200,-23>

Answer 9

Sure no problem

Answer 10

north south is the y direction

so the plane vector is <0,200> and the wind vector is <-23,0> for part I

then you'd add them together for part II

Answer 11

<-23,200>

Answer 12

awesome, then for part III) you'd take the magnitude of the vector from part II

so magnitude = sqrt(x^2+y^2) = ?

Answer 13

sqrt((-23)^2+200^2)

sqrt40529= 201.32

Answer 14

good don't forget your units (mph)

for IV any ideas how to start sketching vplane <0,200> and vwind<-23,0>?

start by plotting (0,200) and (-23,0) like normal points then draw arrows from the origin to the points

Answer 15

something like that :/

Answer 16

almost

(-23,0) goes on the left side of the graph

Answer 17

oh right lol

Answer 18

good (try to get the airplane vector to be a little straighter, a different color would be even better)

now label the airplane vector as vplane, the wind vector as vwind

now, we need to draw the vector we get when we added them

so draw <-23,200> and label it "v"

Answer 19

just gotta plot the point (-23,200) and draw the arrow from the origin to the point

Answer 20

good, just be sure to label the new vector v