write the differences between Triangle Law of addition and polygon law of addition
Answers
What are the differences between the triangle law and parallelogram law of vector addition? If there is no difference, why are the two laws almost similar?
They’re two ways of describing the same thing.
The parallelogram law takes your two vectors and puts them both at the origin, then each one gets a copy of the other one attached to the end. Because vector addition is commutative, these must end up at the same point, describing a parallelogram, and the sum is the diagonal from the origin to the end point.
The triangle law just describes one side of that. Make a triangle from your two vectors, one at the end of the other. The sum is the third side of the triangle.
The parallelogram law uses two copies of the triangle. The parallelogram law has the advantage that it doesn’t require you to specify the order in which you add—both orders are covered.
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Answer:
What are the differences between the triangle law and parallelogram law of vector addition? If there is no difference, why are the two laws almost similar?
They're two ways of describing the same thing.
The parallelogram law takes your two vectors and puts them both at the origin, then each one gets a copy of the other one attached to the end. Because vector addition is commutative, these must end up at the same point, describing a parallelogram, and the sum is the diagonal from the origin to the end point.
The triangle law just describes one side of that. Make a triangle from your two vectors, one at the end of the other. The sum is the third side of the triangle.
The parallelogram law uses two copies of the triangle. The parallelogram law has the advantage that it doesn't require you to specify the order in which you add-both orders are covered.
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