Final answer:
To subtract vector B from vector A, we add the opposite of vector B to A by adding the coefficients of like terms.
Step-by-step explanation:
The question asks us to subtract vector B from vector A. In this case, A = -3x² + 5x - 1 and B = -6x² + 10. To subtract B from A, we can rewrite the subtraction as the addition of -B to A. So, A - B = A + (-B).
By adding -B to A, we simply add the coefficients of like terms. So, (-3x² + 5x - 1) + (-(-6x² + 10)) = -3x² + 5x - 1 + (6x² - 10) = (-3x² + 6x²) + (5x - 10) + (-1) = 3x² - 5x - 11.
Therefore, the correct option is B. 3x² - 5x - 11.