z - अक्ष के दिशा कोसाइन का योग क्या है?

  1. 0
  2. 1/3
  3. 1
  4. 3

Answer (Detailed Solution Below)

Option 3 : 1
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संकल्पना:

सदिश का दिशा कोसाइन कोणों का वह कोसाइन होता है जो निर्देशांक अक्षों के साथ सदिश रूप बनाता है। 

गणना:

Z - अक्ष X - अक्ष के साथ एक कोण 90°, Y - अक्ष के साथ 90°, और Z - अक्ष के साथ 0° बनाता है। 

∴ Z - अक्ष का दिशा कोसाइन: cos 90, cos 90, cos 0

अर्थात् 0, 0, 1 

अब z - अक्ष के दिशा कोसाइन का योग = 0 +  0 + 1 = 1 

अतः विकल्प (3) सही है। 

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