When a vector is multiplied by a scalar quantity, then the magnitude of the vector changes in accordance with the magnitude of the scalar but the direction of the vector remains unchanged.
Coprimes, also known as relatively prime numbers, are two numbers that have no common positive integer factors other than 1. In other words, their greatest common divisor (GCD) is equal to 1.
Here are five pairs of coprime numbers:
(2, 3): The only positive integer that divides both 2 and 3 is 1, so they are coprime.(4, 9): Although both 4 and 9 are not prime numbers, their GCD is 1 because no number greater than 1 divides both 4 and 9.(7, 15): Again, 7 and 15 are not prime numbers, but their GCD is 1.(10, 21): Despite being composite numbers, their GCD is 1 because no number other than 1 divides both 10 and 21.(13, 16): These numbers are coprime because their GCD is 1.
Coprimes are not always prime numbers. As demonstrated in the examples above, coprime pairs can include both prime and composite numbers. The key requirement is that they have no common factors other than 1.
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When a vector is multiplied by a scalar quantity, then the magnitude of the vector changes in accordance with the magnitude of the scalar but the direction of the vector remains unchanged.
Answer:
Coprimes, also known as relatively prime numbers, are two numbers that have no common positive integer factors other than 1. In other words, their greatest common divisor (GCD) is equal to 1.
Here are five pairs of coprime numbers:
(2, 3): The only positive integer that divides both 2 and 3 is 1, so they are coprime.(4, 9): Although both 4 and 9 are not prime numbers, their GCD is 1 because no number greater than 1 divides both 4 and 9.(7, 15): Again, 7 and 15 are not prime numbers, but their GCD is 1.(10, 21): Despite being composite numbers, their GCD is 1 because no number other than 1 divides both 10 and 21.(13, 16): These numbers are coprime because their GCD is 1.
Coprimes are not always prime numbers. As demonstrated in the examples above, coprime pairs can include both prime and composite numbers. The key requirement is that they have no common factors other than 1.
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