Mikä on [3,1, -5] ja [2, -1, 1] ristituote?

Vastaus:

# AXB = -4i-13J-5k #

Selitys:

#vec A = 3,1, -5 #

#vec B = 2, -1,1 #

# A_X = 3 #

# A_y = 1 #

# A_z = -5 #

# B_x = 2 #

# B_y = -1 #

# B_z = 1 #

# AXB = (A_y * B_z-A_z * B_y) i- (A_X * B_z-A_z * B_x) j + (A_X * B_y-A_y-B_x) k #

# AXB = i (1 * 1- (5 * 1)) - j (3 * 1 + 2 * 5) + k (-1 * 3-2 * 1) #

# AXB = i (1-5) -j (3 + 10) + k (-3-2) #

# AXB = -4i-13J-5k #