Mikä on [1, 4, -2] ja [3, -6,4] ristituote?

Mikä on [1, 4, -2] ja [3, -6,4] ristituote?
Anonim

Vastaus:

#A X B = 4i-10j-18k #

Selitys:

# A = i + 4j-2k #

# B = 3i-6j + 4k #

# AXB = 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)) #

# AXB = i (4 * 4 - ((- 2) * (- 6))) - j (1 * 4- (3 * (- 2)) + k (1 * (- 6) - (3 * 4)) #

#A XB = i (16-12) -j (4 + 6) + k (-6-12) #

#AXB = i (4) -j (10) + k (-18) #

#A X B = 4i-10j-18k #