# Thread: Linear

1. ## Linear

A hiker walks 4 km north and then 5 km northeast (the part I don't geometrically know how to figure ). Draw the displacement vectors representing the hiker's trip and draw a vector that represents the hikers net displacement from the starting point.

Thanks for the help,

qbkr21

2. Originally Posted by qbkr21
A hiker walks 4 km north and then 5 km northeast (the part I don't geometrically know how to figure ). Draw the displacement vectors representing the hiker's trip and draw a vector that represents the hikers net displacement from the starting point.

Thanks for the help,

qbkr21
let the axis do the work. draw a pair of axis as you would in the Cartesian plane. let the positive y direction be north, the negative y direction be south, etc.

you want to draw a vertical line of length 4 with an arrow at the top of it, this is the first vector. from the terminal point of that vector, draw a line, 5 units in length going to the right such that it would make a 45 degree angle with the x-axis, draw an arrow at the end. these two are the displacement vectors. then draw a vector from the starting point of the first line to the terminal point of the last line. this is your net displacement vector

3. ## Re:

Thanks Jhevon the quick reply and help!!

Best,
qbkr21

4. Originally Posted by qbkr21
Thanks Jhevon the quick reply and help!!

Best,
qbkr21
you're welcome

### a hiker walks 4 km north and then 5 km northeast. draw displacement vectors representing the hikers trip and draw a vector that represents the hikers net displacement from the starting point

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