no
No. The magnitude of a vector can't be less than any component.
opposite direction.
No. The value of a vector is determined by the square root of the sum of its components squared. Value= Sqrt(x^2 + y^2 + z^2). The components of real vectors are real numbers and the square of a real number is a positive number. The sum of a positive and zeros is not zero but a positive. Vectors were created by William Rowan Hamilton in 1843 when he created Quaternions. Quaternions consist of a real number and three vector numbers. The vectors are designated by i, j, k where i^2=j^2=k^2=ijk= -1. The square of a vector is a negative one . This used to be called an imaginary number. The components of vectors are real numbers, like v=2i + 3j -5k, the value of v = sqrt(4 + 9 + 25)=sqrt(38). Complex numbers are a subset of quaternions involving one vector "i".
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.
One of them is negative or both of them are zero,
If any component of a vector is not zero, then the vector is not zero.
No. The magnitude of a vector can't be less than any component.
No. The magnitude of a vector can't be less than any component.
No never
No.
No.
When the direction of the vector is vertical. Gravitational force has zero horizontal component.
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.
opposite direction.
No. The answer does assume that "components" are defined in the usual sense - that is, a decomposition of the vector along a set of orthogonal axes.
NO, a vector will not be zero if one of its components will be zero.
The resultant vector describes the complete vector, magnitude and direction; while the component vector describes a single component of a vector, like the x-component. If the resultant vector has only one component, the resultant and the component are the same and there is no difference.t