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Can you find a vector quantity that has a magnitude of zero but components that are different from zero?
Wiki User
∙ 12y ago
No, that's not possible - at least, not with vectors over real numbers. The magnitude of a vector of components a, b, c, d, for example, is the square root of (a2 + b2 + c2 + d2), and as soon as any of those numbers is different from zero, its square, the sum, and the square root of the sum will all be positive. It is not possible (in the real numbers) to compensate this with a negative number, since the square of a real number can only be zero or positive.
Another answer: In special relativity we use a metric for vectors different from the Euclidean one mentioned above. If (t, x, y, z) is a 4-vector in Minkowski space the squared "length" is defined as t2 - x2 - y2 - z2. As you can see this can be negative (for spacelike vectors), positive (for timelike vectors) or zero (for null, or lightlike vectors). See related link for more information
Wiki User
∙ 12y ago
Wiki User
∙ 6y agoCan a magnitude of vector be smaller than magnitude of any of its component
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What items must be stated to specify to a vector quantity completely?
The vector magnitude and direction or the components of the vector.
What type of quantity is acceleration?
Acceleration is a vector quantity with both magnitude and direction components. It describes a change in velocity, another vector quantity.The presence of two components distinguishes it from a scalar quantity, like speed, that only has one component (velocity and speed are different).
What is a quantity that has a magnitude and direction?
A vector quantity
Is resistance a vector?
A vector quantity is one that has a magnitude (a number), and a direction. No, resistance is not a vector quantity; it is a scalar quantity (only magnitude).
Is distance a vector or scalar quantity?
Distance is a sclar quantity. A scalar quantity is a magnitude only. A vector has magnitude and direction. Distance AND direction is a vector quantity.
How does a vector quantity different from scalar quantity?
A scalar quantity defines only magnitude, while a vector quantity defines both a magnitude and direction.
How does a vector quantity different from a scalar quantity?
A scalar quantity defines only magnitude, while a vector quantity defines both a magnitude and direction.
What items must be stated to specify to a vector quantity completely?
The vector magnitude and direction or the components of the vector.
What kind of quantity is the magnitude of a vector quantity?
The magnitude of a vector is a scalar.
What type of quantity is acceleration?
Acceleration is a vector quantity with both magnitude and direction components. It describes a change in velocity, another vector quantity.The presence of two components distinguishes it from a scalar quantity, like speed, that only has one component (velocity and speed are different).
What is a quantity that has a magnitude and direction?
A vector quantity
Is resistance a vector?
A vector quantity is one that has a magnitude (a number), and a direction. No, resistance is not a vector quantity; it is a scalar quantity (only magnitude).
Is stress is scalar quantity or vector quantity?
Stress is tensor quantity. The stress tensor has 9 components. Each of its components has a magnitude (a scalar) and two directions associated with it.
Is distance a vector or scalar quantity?
Distance is a sclar quantity. A scalar quantity is a magnitude only. A vector has magnitude and direction. Distance AND direction is a vector quantity.
The components of a vector or what?
The components of a vector are magnitude and direction.
What are the components of a vector?
The components of a vector are magnitude and direction.
A vector is a quantity with magnitude and?
A vector is described by magnitude and direction (a scalar has only magnitude).
