<span>1. Even though the Greeks did not rely on a systematic study, what method did they use to begin to know the world? <u>Observation</u>.
They would observe the world around them and base their conclusions based on such observations.
2. What is dualism? <u>The view that the physical and mental are separate and distinct. </u>Dualism is about splitting a whole into two parts - a human is made of body and mind, which is the idea that dualism proposes.</span>
Recall the definition of the cross product:
i x i = j x j = k x k = 0
i x j = k
j x k = i
k x i = j
The cross product is antisymmetric, or anticommutative, meaning that for any vectors u and v, we have u x v = - (v x u).
It's also distributive, so for any vectors u, v, and w, we have (u + v) x w = (u x w) + (v x w).
Taking all of these properties together, we get
b x a = (6i - j + 2k) x (2i + 2j - 5k)
b x a = 12 (i x i) - 2 (j x i) + 4 (k x i)
............. + 12 (i x j) - 2 (j x j) + 4 (k x j)
............. - 30 (i x k) + 5 (j x k) - 10 (k x k)
b x a = 1 (j x k) + 34 (k x i) + 14 (i x j)
b x a = i + 34j + 14k
1. EFG
2. F
3. FA and FB Take a moment to look at this one. The two rays are pointing in opposite directions. They are 180o apart. They share a common point at F.
FE and FG does the same thing.
4. No G is on a line that has only one point on the plane and that point is F.
5, AC has an infinite number of points on the plane.
