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.
No, for a vector to be zero, all of its components must be zero. If only one component is not zero, then the vector itself cannot be 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.
A zero vector is a vector whose value in every dimension is zero.
The zero vector, denoted as 0, is a vector with all components equal to zero. It serves as the additive identity element in vector spaces, meaning that adding it to any vector does not change the vector's value.
If one component of vector A is zero along the direction of vector B, it means the two vectors are orthogonal or perpendicular to each other. Their directions would be such that they are at a right angle to each other.
NO, a vector will not be zero if one of its components will be zero.
No, for a vector to be zero, all of its components must be zero. If only one component is not zero, then the vector itself cannot be 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.
No never
No, if one of the rectangular components of a vector is not zero, the magnitude of the vector cannot be zero. The magnitude of a vector is calculated using the Pythagorean theorem, which involves all its components. Therefore, if at least one component has a non-zero value, the overall magnitude will also be non-zero.
If any component of a vector is not zero, then the vector is not zero.
No.
No.
A zero vector is a vector whose value in every dimension is zero.
Zero vector or null vector is a vector which has zero magnitude and an arbitrary direction. It is represented by . If a vector is multiplied by zero, the result is a zero vector. It is important to note that we cannot take the above result to be a number, the result has to be a vector and here lies the importance of the zero or null vector. The physical meaning of can be understood from the following examples. The position vector of the origin of the coordinate axes is a zero vector. The displacement of a stationary particle from time t to time tl is zero. The displacement of a ball thrown up and received back by the thrower is a zero vector. The velocity vector of a stationary body is a zero vector. The acceleration vector of a body in uniform motion is a zero vector. When a zero vector is added to another vector , the result is the vector only. Similarly, when a zero vector is subtracted from a vector , the result is the vector . When a zero vector is multiplied by a non-zero scalar, the result is a zero vector.
No. The magnitude of a vector can't be less than any component.
Yes, the component of a non-zero vector can be zero. A non-zero vector can have one or more components equal to zero while still having a non-zero magnitude overall. For example, in a two-dimensional space, the vector (0, 5) has a zero component in the x-direction but is still a non-zero vector since its y-component is non-zero.