Troubleshooting Vectors: Finding Errors in Vector Problems | Help Requested

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In summary, the conversation discusses a problem involving vectors and the use of the Pythagorean theorem to determine the magnitude and direction of the resultant vector. The book's answer differs from the calculated answer, and there is a discussion about the correct method for adding vectors in different directions.
  • #1
elpermic
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vectors problem, help please

Homework Statement


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Homework Equations





The Attempt at a Solution



I used the pythagorem theorem on the first two vectors and named it vector x. It turned out to be 4.8km and I used vector x plus 3.1km of the other vector. I got 7.9km at 45 degrees NE. The book says it should be 7.8km at 38 degrees NE. What did I do wrong? OR is it the book>
 
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  • #2


Is the resultant vector from 2.6km north and 4.0km east at a 45 degree angle from east?

If not you can't simply add 4.8km to 3.1km because they won't be in the same direction.
 
  • #3


4.8 km and 3.1 km are not in the same line.
Find the angle between them.
It is equal to (45 degrees - angle between 4 km and 4.8 km.)
 
  • #4


Aren't both lines( vector x and the 3.1km vector both going north east?
 
  • #5


No. It is not. Draw the scale diagram and verify.
 
  • #6


elpermic said:
Aren't both lines( vector x and the 3.1km vector both going north east?

Well, you went north 2.6 km, then east 4 km. To have a 45-degree angle, those two values have to be equal, which they aren't.
 

FAQ: Troubleshooting Vectors: Finding Errors in Vector Problems | Help Requested

1. What is a vector?

A vector is a mathematical quantity that has both magnitude (size or length) and direction. It is commonly represented by an arrow in a coordinate system.

2. How do you solve a vector problem?

To solve a vector problem, you need to first identify the given vectors and their corresponding magnitudes and directions. Then, use mathematical operations such as addition, subtraction, and multiplication to find the resultant vector.

3. What is the difference between a scalar and a vector?

A scalar is a quantity that has only magnitude, while a vector has both magnitude and direction. Examples of scalar quantities include temperature and time, while examples of vector quantities include velocity and force.

4. What is the importance of vectors in science?

Vectors are important in science because they allow us to represent physical quantities that have both magnitude and direction, which is essential in understanding and analyzing various phenomena in fields such as physics, engineering, and mathematics.

5. How do vectors relate to real-life situations?

Vectors can be used to represent real-life situations in various ways. For example, they can be used to represent the velocity and direction of an object's motion, the force and direction of a push or pull, or the direction and magnitude of wind or current in weather patterns.

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