Practice question · Select all that apply
Select every TRUE statement about u x v.
Hints
- Two options concern what the cross product IS; three concern when it vanishes or peaks.
- The perpendicular case is where the cross product is biggest, not where it dies.
Show the answer
- A. Its length equals the area of the parallelogram the two vectors span.
- B. The cross product is perpendicular to both of its inputs.
- C. It vanishes precisely when the two vectors lie along one line.
Why
The magnitude is the spanned area, it peaks at 90 degrees because sine does, and swapping the order negates it. It returns a vector, not a scalar. And the zero case is PARALLEL, not perpendicular, importing the dot product's vanishing test is the trap this question sets.
Practise Cross Product and Geometry in Space
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