Question

If `bar"c" = 3bar"a" - 2bar"b"`, then `[bar"a"  bar"b"  bar"c"]` is equal to ______.

Options

• 0

• 1

• - 2

• 3

Answer 1

If `bar"c" = 3bar"a" - 2bar"b"`, then `[bar"a"  bar"b"  bar"c"]` is equal to 0.

Explanation:

`[bar"a"  bar"b"  bar"c"] = bar"a" * (bar"b" * bar"c")`

`= bar"a" * [bar"b" xx (3bar"a" - 2bar"b")]`

`= bar"a" * [bar"b" xx 3bar"a" - bar"b" xx 2bar"b"]`

`= bar"a" * [bar"b" xx 3bar"a" - bar0]`

`= 3[bar"a"  bar"b"  bar"a"]`

= 3(0) = 0