GK
PHYSICS
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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it cannot be greater than the sums of magnitude of its component vectors.
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it cannot be negative
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it is scalar quantity
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trigonometry is necessary to compute it from component vectors
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Detailed explanation-1: -Answer: Magnitude cannot be negative. It is the length of the vector which does not have a direction (positive or negative). In the formula, the values inside the summation are squared, which makes them positive.
Detailed explanation-2: -Which is not true about a vector’s magnitude? Trigonometry is necessary to compute it from component vectors. It is a scalar quantity. It cannot be greater than the sum of the magnitudes of its component vectors.
Detailed explanation-3: -No, the magnitude of a vector is always positive. A minus sign in a vector only indicates direction, not magnitude.
Detailed explanation-4: -The magnitude of a vector is the length of the vector. The magnitude of the vector a is denoted as ∥a∥. See the introduction to vectors for more about the magnitude of a vector. Formulas for the magnitude of vectors in two and three dimensions in terms of their coordinates are derived in this page.
Detailed explanation-5: -Remember that the scalar can take any value that belongs to real numbers which means that the scalar can be positive, negative, rational and as well as irrational. Also, remember that scalars are used to express magnitude of physical quantities such as pressure and energy.