If  and , then what is the angle between  and 

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NDA 01/2025: English Subject Test
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Detailed Solution

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Concept:

If θ is the angle between vectors  and  then 

Calculation:

Let the angle between vectors  and  be θ

       ....(i)

       ....(ii)

On doing (i) × 2 - (ii), we get 

On putting the value of the vector  in equation (i), we get

⇒ 

Now, 

According to the concept used

⇒ cosθ = 0

⇒ θ = cos-10

⇒ 

∴ The angle between  and  is .

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