If vec P = vec Q,then which of the following | vedclass

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(D) Given $\vec P = \vec Q$.$A$. $\hat P = \hat Q$: Since the vectors are equal,they have the same direction,so their unit vectors are equal. This is

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$\vec P + \vec Q = \hat P + \hat Q$

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(D) Given $\vec P = \vec Q$.$A$. $\hat P = \hat Q$: Since the vectors are equal,they have the same direction,so their unit vectors are equal. This is correct.$B$. $|\vec P| = |\vec Q|$: Equal vectors must have the same magnitude. This is correct.$C$. $P\hat Q = Q\hat P$: Since $\vec P = \vec Q$,we have $P = Q$ and $\hat P = \hat Q$. Thus,$P\hat Q = Q\hat P$ is equivalent to $\vec P = \vec Q$. This is correct.$D$. $\vec P + \vec Q = \hat P + \hat Q$: The left side is a vector of magnitude $2P$,while the right side is a vector of magnitude $2$ (since the sum of two unit vectors has a magnitude between $0$ and $2$). These are generally not equal unless $P = 1$. Therefore,this is $NOT$ correct.

If $\vec P = \vec Q$,then which of the following is $NOT$ correct?

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