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Question

How to count the magnitude of a vector?

Answer

The magnitude or length of a vector can be calculated using the formula ||v|| = sqrt(v1^2 + v2^2 + ... + vn^2), where v is a vector with n components.

  • Q: What is the formula for calculating the magnitude of a vector? A: The formula for calculating the magnitude (or length) of a vector is ||v|| = sqrt(v1^2 + v2^2 + ... + vn^2), where v is a vector with n components.
  • Q: Can you explain the formula for the magnitude of a vector? A: Sure. Each component of the vector is squared, added together, and then the square root of the sum is taken. This gives the magnitude of the vector, which represents the distance or size of the vector.