Ano ang cross product ng [4, 0, 1] at [-1, 2, 3]?

Ano ang cross product ng [4, 0, 1] at [-1, 2, 3]?
Anonim

Sagot:

#A X B = -2i-13j + 8k #

Paliwanag:

# A = 4i + 0j + 1k #

# B = -1i + 2j + 3k #

#A X B = i (A_j B_k-A_k B_j) -j (A_i B_k-A_k B_i) + k (A_i B_j-A_J B_i) #

#A X B = i (0 * 3-1 * 2) -j (4 * 3 + 1 * 1) + k (4 * 2 + 0 * 1) #

#A X B = i (-2) -j (13) + k (8) #

#A X B = -2i-13j + 8k #