प्रारंभिक बिंदु P(2, -3, 4) और अंतिम बिंदु Q(-2, 1, 1) के साथ निर्देशित रेखा खंड द्वारा दर्शाए गए सदिश की लंबाई ज्ञात करें।

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AAI ATC Junior Executive 27 July 2022 Shift 1 Official Paper
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संकल्पना-

सदिश की लंबाईr 

मान लीजिए सदिश का प्रारंभिक बिंदु A(x1, y1, z1) और अंतिम बिंदु B(x2, y2, z2) है तब 

गणना​-

प्रारंभिक बिंदु P(2,-3,4) और अंतिम बिंदु Q(-2, 1, 1) है 

 सदिश  = (-2 - 2) + (1 - (-3))+ (1 - 4)

 सदिश  = -4 + 4 - 3

अब सदिश की लंबाई   निम्न  द्वारा दी गई है

∴ सदिश  की लंबाई है 

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