Answer: 3i - 2j - k.
- A i - 4j + 3k
- B 3i + 2j - k
- C i + 4j - k
- D 3i - 2j - k
Correct answer: D. 3i - 2j - k
Explanation: Add components: (2+1)i + (-3+1)j + (1-2)k = 3i - 2j - k.
Triangle law of vector addition: placing vector b at the head of vector a, the diagonal from the start to the final head gives the resultant a + b.
Concept context
Vectors, dot product, cross product, and geometric applications