BeckyStar678 said:Homework Statement
a map suggests that atlanta is 730 miles in a direction of 5.00 degrees north of east from dallas. the same map shows that chicago is 560 miles in a direction of 21 degrees west of north from atlanta. modeling the Earth as flat, use this info to find the displacement from dallas to chicago.
Homework Equations
The Attempt at a Solution
is this just using the pythagorean theorem. is it 7302 + 5602
A vector is a mathematical quantity that has both magnitude (size) and direction. It is often represented by an arrow. In word problems, vectors are used to describe quantities that have both size and direction, such as velocity, force, and displacement.
To add vectors in word problems, you must first determine the direction and magnitude of each vector. Then, you can use the parallelogram method or the triangle method to find the resultant vector. To subtract vectors, you can use the same methods, but with the opposite direction for the vector being subtracted.
Displacement is the change in position from the initial point to the final point, while distance is the total length traveled. In vector word problems, you may be asked to find either the displacement or the distance, depending on the context of the problem.
Yes, vectors can be used to solve a variety of real-world problems, such as finding the velocity and direction of a moving object, calculating the force needed to move an object, or determining the displacement of an object after a certain amount of time.
Some common mistakes to avoid when solving vector word problems include forgetting to account for the direction of the vector, using the wrong formula for adding or subtracting vectors, and misinterpreting the given information. It is important to carefully read and understand the problem and to double-check your calculations and answer.