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  4. The condition under which vectors (a+ b) and (a - b) should be at right angles to each other is

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Q. The condition under which vectors (a+ b) and (a - b) should be at right angles to each other is

Motion in a Plane

Solution:

The dot product of two vectors should be equal to zero.
is $ (a + b)\cdot(a - b) = 0$
$\Rightarrow a^2 - b^2 = 0$
$\Rightarrow | a | = | b |$