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  4. Cross product of ( a - b ) ×( a + b ) is equal to

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Q. Cross product of $( a - b ) \times( a + b )$ is equal to

Vector Algebra

Solution:

$(a-b) \times(a+b)$
$=a \times a+a \times b-b \times a-b \times b$
$=0+a \times b+a \times b-0(\because a \times a=0$ and $a \times b=-b \times a)$
$=2(a \times b) $ Hence proved.