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
Answer:
Matt ;
Used diameter of the ball instead of Radius
Step-by-step explanation:
The volume of a sphere is given as :
4/3πr³
Radius, r = diameter / 2
Given that, the diameter = 15 cm ; The Radius = 15 / 2 = 7.5 cm
Matt made an error in his calculation by failing to covert the value of the diameter given to Radius.
By dividing the diameter by 2 = 15 / 2 = 7.5, we obtain the Radius, which is what Billy did in her own calculation.
Answer:
4x+2
Step-by-step explanation:
2(2x+1)
4x +2
you distribute the the 2
Answer:
I think the equation is written as 3r + 2.5p, where r is the number of roses and p is the number of petunias. To find the total cost, substitute 777 to r and 888 to p. The total cost would then be:
Total Cost = 3r + 2.5p
Total Cost = 3(777) + 2.5(888)
Total Cost = 4551
The total cost would be $4,551.