Magnitudes are positive.
When we say that a vector has magnitude and direction, we assume the magnitude is positive and the direction is the actual direction of the vector quantity in question.
This is a convention. If you have a vector of wind velocity that is 20 meters per second in the direction north, then at a later time, the vector is said to be -20 meters per second north, one would know that the actual direction was +20 meters per second south.
That said, the answer to the question is that the magnitude of the vector is taken as positive and the direction is a vector of unit length pointing in the same direction as the given vector. If someone wants to do it differently, that is fine. They would not be wrong.
No, magnitude is not a vector. Magnitude refers to the size or quantity of a vector, but it does not have direction like a vector does.
A vector is described by magnitude and direction (a scalar has only magnitude).
can a magnitude of a vector has negative value?
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.
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.
The magnitude of a vector is always treated as non negative and the minus sign indicates the reversal of that vector through an angle of 180 degree.
It is a vector whose magnitude is 1.It is a vector whose magnitude is 1.It is a vector whose magnitude is 1.It is a vector whose magnitude is 1.
No, magnitude is not a vector. Magnitude refers to the size or quantity of a vector, but it does not have direction like a vector does.
a vector quantity has both direction (sign) and magnitude like displacement towards right or left (direction) and has a certain value (magnitude)
A vector magnitude is the number that is associated to the length of the vector.
A vector is described by magnitude and direction (a scalar has only magnitude).
3 times the magnitude of the vector V - which is not known.3 times the magnitude of the vector V - which is not known.3 times the magnitude of the vector V - which is not known.3 times the magnitude of the vector V - which is not known.
Nothing. A magnitude is part of a vector. For example, for the vector "10 metres due East", 10 metres is the magnitude of the vector and East is the direction of the vector.
can a magnitude of a vector has negative value?
That depends on what the vector, itself, represents. For example, if the vector represents velocity, then the magnitude of the vector represents speed. If the vector represents displacement, then the magnitude of the vector represents distance.
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.
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.