If any component of a vector is not zero, then the vector is not zero.
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.
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.
The vertical component of the acceleration vector is the acceleration due to gravity (9.81 m/s^2 downward). The horizontal component of the acceleration vector is zero since there is no acceleration acting in the horizontal direction (assuming no external forces).
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. The magnitude of a vector can't be less than any component.
No never
No.
No.
A vector comprises its components, which are orthogonal. If just one of them has magnitude and direction, then the resultant vector has magnitude and direction. Example:- If A is a vector and Ax is zero and Ay is non-zero then, A=Ax+Ay A=0+Ay A=Ay
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.
If 'A' and 'B' are vectors, and their magnitudes are equal, andtheir directions are opposite, then their vector sum is zero.