First let me start by saying that the absolute value of -8 is 8.
However, this can be a dangerous question to ask, as it can become a complicated one to ask, as the magnitude of a number or function can have many answers, and each of the methods to describe the "magnitude" of a number or function is called a "norm".
There are many types of norms: the infinity norm (the maximum absolute value of a function), and the L2 norm (the square root of the integral of the square of a function). Another example is the length of a curve.
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No because magnitude is like length and you cannot have negative length
Sign . . . negative Magnitude . . . 33
No, the value can't be negative because magnitude of a vector is just how long it is regardless of its direction. :-)
Vectors have magnitude and direction. The magnitude is always a positive number.
A null vector has no magnitude, a negative vector does have a magnitude but it is in the direction opposite to that of the reference vector.