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Homework Statement
what is the magnitude of the vector:
v = 3i - 4j - k
Homework Equations
The Attempt at a Solution
what I have is:
sqrt(3^2 + (-4)^2 + (-1)^2)
is this correct?
A vector is a mathematical quantity that has both magnitude (size) and direction. It is often represented by an arrow, with the length of the arrow representing the magnitude and the direction of the arrow indicating the direction of the vector.
Magnitude refers to the size or length of a vector. It is a scalar quantity, meaning it is only represented by a numerical value and does not have a direction.
The magnitude of a vector is calculated using the Pythagorean theorem, where the square of the length of the vector is equal to the sum of the squares of its components. In other words, the magnitude is the square root of the sum of the squares of the vector's components.
No, the magnitude of a vector cannot be negative. It is always a positive value, as it represents the distance or length of the vector.
The magnitude of a vector is typically represented using absolute value notation, such as |v|, or by simply stating the numerical value without a direction. It can also be represented graphically by the length of the arrow representing the vector.