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  ஆகியவை இரு திசையன்களாகும் மேலும்  எனில் பின்வருவனவற்றுள் எது சரியாகும்?

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  1.   ஆகியவை ஓரலகு திசையன்கள்.
  2.  என்பது க்கு இணையாக இருக்கும்.
  3.  என்பது க்கு செங்குத்தாக இருக்கும்.
  4.  என்பது க்கு சமமாக இருக்கும்.

Answer (Detailed Solution Below)

Option 3 :  என்பது க்கு செங்குத்தாக இருக்கும்.
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Detailed Solution

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கோட்பாடு:

  ஆகிய இரு திசையன்களின் அளவிப்பெருக்கல் என்று கொடுக்கப்பட்டுள்ளது 

  ஆகிய இரு திசையன்கள் செங்குத்தானவை எனில் 

கணக்கீடு:

கொடுக்கப்பட்டுள்ளவை: \(\vec a \:and\: \vec b\)ஆகியவை இரு திசையன்களாகும் மேலும் 

⇒ 

⇒ 

⇒ 

∵ 

⇒ 

⇒ 

⇒ 

எனவே,   என்பது நிச்சயமாக க்கு செங்குத்தாக இருக்க வேண்டும். 

எனவே, சரியான விருப்பம் 3 ஆகும்.

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