Answer:
The statement is false.
Step-by-step explanation:
For any vector 'r' we have

The magnitude is given by

As we know that the upon squaring a term the result is always positive thus the term in right side of equation i is always positive no matter weather the terms (x,y,z) are positive or negative hence we conclude that magnitude of any vectorial quantity is always positive irrespective of it's direction.
For this problem, you're finding volume. The expression for volume is l•w•h (length times width times height).
Like this: https://www.desmos.com/calculator/oox8hpz76r
Replace each inequality with an equal sign and graph the corresponding line. Since those inequality symbols do not include the "or equal to" case, graph the line as a dashed line. Then, shade the half of the plane corresponding to the values of x and y that satisfy the inequality. Here, the coefficient of y is positive on the "greater than" side of the inequality, so the plane will be shaded for larger y-values, those above the line in each case.