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Question

Magnitude of vector always has :

This question was previously asked in
CUET PG 2026 Agri-Business Management Question Paper (25-Mar-2026) (Shift 2)
The correct answer is
Positive quantity

Vector Magnitude Characteristics

The magnitude of a vector represents its length or size. It is fundamentally a scalar value, meaning it only has magnitude and no direction.

Analyzing Magnitude Options

  • Cannot be Negative: Magnitude corresponds to length, which must always be non-negative ($ \ge 0 $). Therefore, a negative quantity is not possible for a vector's magnitude.
  • Cannot be Angular: Magnitude measures size, not orientation. An angular quantity describes an angle, which is a different concept.
  • Can be Zero or Positive: The magnitude is zero only for the special case of the zero vector ($ \vec{0} $). For any non-zero vector, the magnitude is strictly positive.

Considering these points, a vector's magnitude is always a non-negative value. Among the given options, "Positive quantity" best describes this characteristic, representing the length of non-zero vectors and excluding impossible negative or angular values.

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