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If  and , then  is equal to

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Concept Used:

for any vector,  
 and
 

Calculation:

​​
 
\(\Rightarrow (\vec{p}+\vec{q})^2=(4 \hat{i}+ \hat{j}+4 \hat{k} ) \cdot(4 \hat{i}+ \hat{j}+4 \hat{k} ) \)

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