If P- a- b- c and Q- r - from P - Q and Q - P- Are these two products equal-

P × Q ={ (a, r ), (b, r), (c, r) } Q × P={ (r, a), (r, b), (r, c) } Clearly P × Q ≠ Q × P ...

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Byju's Answer

Standard XII

Mathematics

Cartesian Product

If P= a, b,...

Question

If $P = {a, b, c}$ and $Q = {r}$ , from $P \times Q$ and $Q \times P$ . Are these two products equal?

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Solution

$P \times Q = {(a, r), (b, r), (c, r)}$
$Q \times P = {(r, a), (r, b), (r, c)}$
Clearly $P \times Q \neq Q \times P$

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If P={a,b,c} and Q={r}, from P×Q and Q×P. Are these two products equal?

P×Q={(a,r),(b,r),(c,r)}Q×P={(r,a),(r,b),(r,c)}Clearly P×Q≠Q×P

If $P = {a, b, c}$ and $Q = {r}$ , from $P \times Q$ and $Q \times P$ . Are these two products equal?

$P \times Q = {(a, r), (b, r), (c, r)}$
$Q \times P = {(r, a), (r, b), (r, c)}$
Clearly $P \times Q \neq Q \times P$