Mathematics for IGCSE & O level - Vectors (Section 1 - No. 43)

Which of the following statements is/are true about the magnitude of a vector?
The magnitude is always a positive value.
The magnitude is found by taking the square root of the sum of the squares of the components.
If a vector is multiplied by a scalar, the magnitude is also multiplied by that scalar.
The magnitude represents the length of the vector.

Explanation

Magnitude is always positive, found using the Pythagorean theorem (square root of sum of squares). When the vector is multiplied by the scalar, the length or magnitude is changed.

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