Show that: (a xx b) xx (c xx d) = (a * b xx d) c - (a xx b xx c) d

Lacey Rojas

Lacey Rojas

Answered question

2022-08-05

Show that:
( a × b ) × ( c × d ) = ( a b × d ) c ( a b × c ) d

Answer & Explanation

Marlie Frazier

Marlie Frazier

Beginner2022-08-06Added 14 answers

Let a ¯ × b ¯ = p ¯
Then ( a ¯ × b ¯ ) × ( c ¯ × d ¯ ) = p ¯ × ( c ¯ × d ¯ ) = ( p ¯ d ¯ ) c ¯ ( p ¯ c ¯ ) d ¯ = ( ( a ¯ × b ¯ ) d ¯ ) c ¯ ( ( a ¯ × b ¯ ) c ¯ ) d ¯ = ( a ¯ ( b ¯ × d ¯ ) ) c ¯ ( a ¯ ( b ¯ × c ¯ ) ) d ¯
Hence proved.

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