Scalar multiplied with cross product of two vectors

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Look at the following equation: $$ a[\vec{b}\ \times \ \vec{c}] = \vec{b} \ \times \ a\vec{c}$$

How is the above equation true?

Note - I am a beginner to vectors. I am just introduced to vectors so that I can use it in basic physics problems.

It was used in angular momentum. The following was given in the book: $$ m[\vec{r}\ \times \ \vec{a}] = \vec{r} \ \times \ m\vec{a} = \vec{\tau}$$