<span>For two vectors u and v, the cross product can be expressed as follows:
(u2v3 - u3v2) i + (u3v1 - u1v3) j + (u1v2 - u2v1) k.
Consequently, we have m x n: ( (2 *-4) - (-5 * -2) ) i + ( (-5*6) - (3 *-4) )j + ( ( 3*-2) - (2*6))k,
which simplifies to ( -8 - 10) i + ( -30 + 12) j + ( -6 - 12) k.
Thus, the product of vectors m and n yields -18 i - 18j -18k</span>.
Answer: F(x) > 0 in the ranges (-0.7, 0.76) and (0.76, ∞).
I hope this is useful:)
The answer with the work has been provided previously.
A(w) = -w² + 100w
Step-by-step explanation: Initially, we need to express the length (l) of the rectangular area in terms of the width (w). Given that the total perimeter of the rectangle is 200 feet implies that 2(w + l) = 200, leading to l = 100 - w. Hence, the area A can be given as width multiplied by length: A = w * l = w * (100 - w) = -w² + 100w. Consequently, A(w) = -w² + 100w.
