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Can a vector of magnitude zero have a nonzero component. explain?
Wiki User
∙ 12y ago
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.
Wiki User
∙ 12y ago
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Can a a vector with 0 magnitude have a nonzero component?
No.
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 a component greater than the magnitude of vector?
no a vector cannot have a component greater than the magnitude of vector
Can a vector have a component greater than its magnitude?
No a vector may not have a component greater than its magnitude. When dealing with highschool phyics problems, the magnitude is usually the sum of two or more components and one component will offset the other, causing the magnitude to be less then its component
Can a vector have a component greater than the magnitude?
No.
Can a a vector with 0 magnitude have a nonzero component?
No.
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 a component greater than the vector's magnitude?
No, a vector's component cannot be greater than the vector's magnitude. The magnitude represents the maximum possible magnitude of a component in any direction.
Can a vector have a component greater than the magnitude of vector?
no a vector cannot have a component greater than the magnitude of vector
Vector component greater than the vectors magnitude?
A vector component can never be greater than the vector's magnitude. The magnitude of a vector is the length of the vector and is always greater than or equal to any of its individual components.
Can a vector have a component greater than the magnitude of the vector?
No, a vector component is a projection of the vector onto a specific direction. It cannot have a magnitude greater than the magnitude of the vector itself.
Can a component of vector greater than vector magnitude?
No, a component of a vector cannot be greater than the magnitude of the vector itself. The magnitude of a vector is the maximum possible value that can be obtained from its components.
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 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.
Can the component of a vector ever be greater than the magnitude of the vector?
No.
Can a vector have a component greater than its magnitude?
No a vector may not have a component greater than its magnitude. When dealing with highschool phyics problems, the magnitude is usually the sum of two or more components and one component will offset the other, causing the magnitude to be less then its component
Can a vector have a component greater than it magnitude?
No.
