Question
Let $\overrightarrow{\text{A}}=5\vec{\text{i}}-4\vec{\text{j}}$ and $\overrightarrow{\text{B}}=-7.5\vec{\text{i}}+6\vec{\text{j}}.$
  1. Do we have $\overrightarrow{\text{B}}\text{k}\vec{\text{A}}?$
  2. Can we say $\frac{\overrightarrow{\text{B}}}{\overrightarrow{\text{A}}}=\text{k}?$

Answer

  1. yes, If you multiply (-1.5) to A you get B
⇒ B = -1.5A
  1. But that doesn’t mean $-1.5=\frac{\text{B}}{\text{A}},$ Because division of a vector with another vector is not defined.

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