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Can a vector have a zero magnitude if all of its components are zero?
If all the components of a vector are zero, the magnitude of the vector will always be zero.
Can a vector have a component equal to zero and still have a nonzero magnitude?
Yes. For instance, the 2-dimensional vector (1,0) has length sqrt(1+0) = 1 A vector only has zero magnitude when all its components are 0.
Can the magnitude of a vector be equal to one of its components?
Yes. A vector in two dimensions is broken into two components, a vector in three dimensions broken into three components, etc... If the value of all but one component of a vector equal zero then the magnitude of the vector is equal to the non-zero component.
What is the magnitude of a zero vector?
The magnitude of the zero vector is zero, hence the name.
Can a vector of magnitude zero have a nonzero component. explain?
No, Magnitude is computed using the sum of squares of the components. Since squares are never negative, if one component is non-zero the result is necessarily positive.ANS2:Sum of the squares?! Somebody has been smoking something. If the magnitude is zero, that means that the components' sums are zero. That condition is called dynamic equilibrium. An apple on a table is experiencing a downward force from gravity and an upward force from the table. They add to zero and the apple just sits there. The downward force of gravity is -9.81 m/s^2 x the mass of the apple. The components acting on the apple are equal in magnitude but opposite in direction.
Can a vector have a zero magnitude if all of its components are zero?
If all the components of a vector are zero, the magnitude of the vector will always be zero.
Can a vector have a component equal to zero and still have a nonzero magnitude?
Yes. For instance, the 2-dimensional vector (1,0) has length sqrt(1+0) = 1 A vector only has zero magnitude when all its components are 0.
Can a vector have zero magnitude if one of its component is not zero?
No, a vector cannot have zero magnitude if one of its components is not zero. The magnitude of a vector is determined by the combination of all its components, so if any component is not zero, the vector will have a non-zero magnitude.
Will a vector be zero if one of its compoent is zero?
No. In order for the magnitude of a vector to be zero, the magnitude of all of its components will need to be zero.This answer ignores velocity and considers only the various N-axis projections of a vector. This is because direction is moot if magnitude is zero.
Can the magnitude of a vector be equal to one of its components?
Yes. A vector in two dimensions is broken into two components, a vector in three dimensions broken into three components, etc... If the value of all but one component of a vector equal zero then the magnitude of the vector is equal to the non-zero component.
What is the magnitude of a zero vector?
The magnitude of the zero vector is zero, hence the name.
Is it possible for a vector to be zero if its one of the components is zero?
NO, a vector will not be zero if one of its components will be zero.
When can a nonzero vector have a zero horizontal component?
When the direction of the vector is vertical. Gravitational force has zero horizontal component.
Can a vector of magnitude zero have a nonzero component. explain?
No, Magnitude is computed using the sum of squares of the components. Since squares are never negative, if one component is non-zero the result is necessarily positive.ANS2:Sum of the squares?! Somebody has been smoking something. If the magnitude is zero, that means that the components' sums are zero. That condition is called dynamic equilibrium. An apple on a table is experiencing a downward force from gravity and an upward force from the table. They add to zero and the apple just sits there. The downward force of gravity is -9.81 m/s^2 x the mass of the apple. The components acting on the apple are equal in magnitude but opposite in direction.
Under what circumstances can a vector have components that are equal in magnitude?
(Magnitude of the vector)2 = sum of the squares of the component magnituides Let's say the components are 'A' and 'B', and the magnitude of the vector is 'C'. Then C2 = A2 + B2 You have said that C = A, so C2 = C2 + B2 B2 = 0 B = 0 The other component is zero.
How would you define the zero vector by using the idea of components?
All components of the zero vector equal to zero.
Can the magnitude of a vector has negative value?
No, the magnitude of a vector is always a positive value or zero. It represents the length of the vector and is a scalar quantity. Negative values are not associated with the magnitude of a vector.
