Find the cross product u x v of vectors u = (1, 0, 0) and v = (0, 1, 0).
Answer and explanation
Correct answer: C. (0, 0, 1)
- Step 1: The vectors are the standard unit basis vectors i and j.
- Step 2: By the right-hand rule and definition of cross product: i x j = k = (0, 0, 1).
Answer
(0, 0, 1).
Why not the others: '(0, 0, -1)' is j x i (the anticommutative opposite); '(1, 1, 0)' is vector addition u + v; '0' confuses cross product with dot product.
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