If vector A = 2i + 3j + k and vector B = i - 2j + 4k, what is the cross product A × B?

Practice Questions

1 question
Q1
If vector A = 2i + 3j + k and vector B = i - 2j + 4k, what is the cross product A × B?
  1. -10i + 5j + 7k
  2. 10i - 5j - 7k
  3. 10i + 5j + 7k
  4. -10i - 5j + 7k

Questions & Step-by-step Solutions

1 item
Q
Q: If vector A = 2i + 3j + k and vector B = i - 2j + 4k, what is the cross product A × B?
Solution: A × B = |i j k|\n|2 3 1|\n|1 -2 4| = (3*4 - 1*(-2))i - (2*4 - 1*1)j + (2*(-2) - 3*1)k = 10i - 5j - 7k.
Steps: 0

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