A man walks 400 m in the direction 45 degrees north of east. Represent this vector graphically by selecting a scale and drawing a coordinate system.
I do not know how to answer this question.
you need to get out some graph paper
label the axes so that distances of 400 can be easily drawn
draw a line at 45° (y=x) so it goes 400 in both x and y directions
Don't forget your Algebra I now that you're doing physics!
How do I draw a line at 45 degrees
the line y=x is at 45° -- its slope is 1, the tan(45°)
To represent the vector graphically, we need to draw a coordinate system and scale it properly.
First, let's draw the x-axis and the y-axis to create the coordinate system.
Next, we need to determine an appropriate scale. Let's say we use a scale of 1 cm to represent 100 meters. This means that every 1 cm on the graph will represent 100 meters in real life.
Now, let's represent the vector.
Start by placing a point at the origin (0,0) of the coordinate system.
Next, we determine the direction of 45 degrees north of east. This means that the vector will be pointing up and toward the right.
To represent a displacement of 400 meters in that direction, we need to draw a line segment that is 4 cm long (since each cm represents 100 meters).
Starting from the origin, draw a line segment that is 4 cm long in the direction of 45 degrees north of east.
Finally, label the end of the line segment with a point. This point represents the final position of the man after walking 400 meters in the given direction.