Question

For those who thought they knew their vectors:

Answer 1

im goona invent the round vector :)

Answer 2

An airplane heads northeast at an airspeed of 700 km/hr, but there is a wind blowing from the west at 60 km/hr. In what direction does the plane end up flying? What is its speed relative to the ground?

Answer 3

No bonus points for answering before I post the question

Answer 4

btw look up quaternions if you want a round vector

Answer 5

wha???

Answer 6

northeast 700 km/hr
wind west at 60 km/hr.

Answer 7

nice, it just cuts off the page there .. lovely :/

Answer 8

your gonna have to shrink your screen to se that

Answer 9

noreaster is 45*

<1,1> is good fer it

and 60 west is just <0,1>

Answer 10

but magnitude counts

Answer 11

I don't know if that's correct; that's what I had thought but then I realized airspeed is the speed relative to the air. So, the 700 km/hr to the northeast may already have the wind built in?

Answer 12

nah, its a math model, not real life

Answer 13

70,6

35,3 is about as ratioed as i can get them

Answer 14

Okay I concede on the first part. But how do you get the ground speed?

Answer 15

20<35,35>
20< 0 , 3>
------------
20<35,38>

Answer 16

measure the distance flown in one hour along the new path

Answer 17

or simply assume that these vectors are a one hour snapshot and put |a+b| as the answer

Answer 18

but .... 700 aint it, is it :)

700 ratios to sqrt(2), not a side

Answer 19

ya

Answer 20

same concept, but better mathical skills ;)

Answer 21

But by your reasoning the ground speed should just be 700 km/hr. Either the wind is factored in the airspeed, the angle is 45, and the ground speed is different or vice versa