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Michael_Light
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Homework Statement
Can anyone check whether my solution is correct or wrong? If got mistake please point it out...
P/S: please click the image to view a larger version...Is my vector subtraction solution correct? East 13.9 North
- Thread starter Michael_Light
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In summary, vector subtraction is the process of finding the difference between two vectors, which have both magnitude and direction. It is performed by subtracting the corresponding components of the vectors. Geometrically, vector subtraction represents the displacement between two points. It can result in a negative vector, but its magnitude will always be positive. Vector subtraction is also related to vector addition as they are inverse operations of each other.
Can anyone check whether my solution is correct or wrong? If got mistake please point it out...
P/S: please click the image to view a larger version...- #2
Delphi51
Homework Helper
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It all looks good except for the final direction statement.
It can't have a south component - the vectors are east and northeast.
I would say East 13.9 North.
It can't have a south component - the vectors are east and northeast.
I would say East 13.9 North.
What is vector subtraction and how is it different from regular subtraction?
Vector subtraction is the mathematical operation of finding the difference between two vectors. It is different from regular subtraction because vectors have both magnitude and direction, whereas regular numbers only have magnitude.
How is vector subtraction performed?
To subtract two vectors, you first need to make sure they are in the same coordinate system. Then, you can subtract the corresponding components of the vectors to find the difference. For example, if A = [3, 5] and B = [1, 2], then A - B = [3-1, 5-2] = [2, 3].
What is the geometric interpretation of vector subtraction?
Geometrically, vector subtraction can be thought of as finding the displacement between two points. The resulting vector points from the initial point of the first vector to the final point of the second vector.
Can vector subtraction result in a negative vector?
Yes, vector subtraction can result in a negative vector. This happens when the resulting vector points in the opposite direction of the initial vector. It is important to note that the magnitude of the vector will always be positive.
How is vector subtraction related to vector addition?
Vector subtraction and vector addition are inverse operations of each other. This means that adding a vector to its negative (or subtracting a vector from itself) will result in a zero vector. In other words, A + (-A) = [0, 0].
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