Question
If $\overrightarrow{\text{A}}\times\overrightarrow{\text{B}}=0,$ can you say that:
  1. $\overrightarrow{\text{A}}=\overrightarrow{\text{B}}$
  2. $\overrightarrow{\text{A}}\neq\overrightarrow{\text{B}}$

Answer

We can’t definitely say either of them is true because the two vectors can have different or same magnitudes but if they are parallel to each other their cross product is always zero.

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