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Points and are located in space
MATHEMATICS · Single correct · CBSE · Mathematics · Vector Algebra · Vector Algebra
Problem Points P ( 1 , − 2 , 3 ) P(1,-2,3) P ( 1 , − 2 , 3 ) and Q ( 4 , 2 , 6 ) Q(4,2,6) Q ( 4 , 2 , 6 ) are located in space. Determine the unit vector directed from P P P to Q Q Q .
(a) 3 26 i ^ + 4 26 j ^ + 3 26 k ^ \dfrac{3}{\sqrt{26}}\,\hat i + \dfrac{4}{\sqrt{26}}\,\hat j + \dfrac{3}{\sqrt{26}}\,\hat k 26 3 i ^ + 26 4 j ^ + 26 3 k ^
(b) 4 34 i ^ + 3 34 j ^ + 3 34 k ^ \dfrac{4}{\sqrt{34}}\,\hat i + \dfrac{3}{\sqrt{34}}\,\hat j + \dfrac{3}{\sqrt{34}}\,\hat k 34 4 i ^ + 34 3 j ^ + 34 3 k ^
(c) 3 34 i ^ + 4 34 j ^ + 3 34 k ^ \dfrac{3}{\sqrt{34}}\,\hat i + \dfrac{4}{\sqrt{34}}\,\hat j + \dfrac{3}{\sqrt{34}}\,\hat k 34 3 i ^ + 34 4 j ^ + 34 3 k ^
(d) 3 5 i ^ + 4 5 j ^ + 3 5 k ^ \dfrac{3}{5}\,\hat i + \dfrac{4}{5}\,\hat j + \dfrac{3}{5}\,\hat k 5 3 i ^ + 5 4 j ^ + 5 3 k ^
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