Solve :
$| \to a | = ∣ ∣ \to b ∣ ∣ \Rightarrow \to a = \to b$

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Solution

Consider given the vector,

$\to a = \to b$
Taking square both sides,

${\to a}^{2} = {\to b}^{2}$

$∵ {\to x}^{2} = {∣ ∣ \to x ∣ ∣}^{2}$

$∴ {∣ ∣ \to a ∣ ∣}^{2} = {∣ ∣ ∣ \to b ∣ ∣ ∣}^{2}$

Now, taking root both sides,

$∣ ∣ \to a ∣ ∣ = ∣ ∣ ∣ \to b ∣ ∣ ∣$

Hence proved,

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