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Can you find a vector quantity that has a magnitude of zero but components that are different from zero?
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
What else can I help you with?
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).
A vector is a quantity with magnitude and ___?
A vector is described by magnitude and direction (a scalar has only magnitude).
How do you find magnitude in physics?
In physics, magnitude is the size or quantity of a physical property, such as force or velocity. To find the magnitude of a vector quantity, you can use the Pythagorean theorem, which involves squaring the components of the vector, adding them together, and then taking the square root of the sum. This gives you the magnitude of the vector.
What is needed to describe a vector qauntity?
To describe a vector quantity, you need both magnitude (size) and direction. This information can be represented using components along different axes or as a magnitude and an angle relative to a reference direction.
Is magnitude a vector?
No, magnitude is not a vector. Magnitude refers to the size or quantity of a vector, but it does not have direction like a vector does.
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.
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.
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).
A vector is a quantity with magnitude and ___?
A vector is described by magnitude and direction (a scalar has only magnitude).
How do you find magnitude in physics?
In physics, magnitude is the size or quantity of a physical property, such as force or velocity. To find the magnitude of a vector quantity, you can use the Pythagorean theorem, which involves squaring the components of the vector, adding them together, and then taking the square root of the sum. This gives you the magnitude of the vector.
What is needed to describe a vector qauntity?
To describe a vector quantity, you need both magnitude (size) and direction. This information can be represented using components along different axes or as a magnitude and an angle relative to a reference direction.
Is magnitude a vector?
No, magnitude is not a vector. Magnitude refers to the size or quantity of a vector, but it does not have direction like a vector does.
Is a vector quantity is always the same as a scalar quantity?
No, a vector quantity and a scalar quantity are different. A vector has both magnitude and direction, while a scalar has only magnitude. Velocity and force are examples of vector quantities, while speed and temperature are examples of scalar quantities.
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.
How do you easily tell a vector quantity from a scalar quantity?
A vector quantity has both magnitude and direction, while a scalar quantity only has magnitude. To easily distinguish between them, look for indications of direction such as arrows, angles, or components in the physical quantity provided.
How does a vector quantity differ from a scalar quantity?
A scalar quantity defines only magnitude, while a vector quantity defines both a magnitude and direction.
