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Find a unit vector in the opposite direction of u¯. Where u¯=8i^+3j^-k^ - Mathematics and Statistics

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Question

Find a unit vector in the opposite direction of `bar("u")`. Where `bar("u") = 8hat"i" + 3hat"j" - hat"k"`

Sum

Solution

Required vector = `(-bar("u"))/|bar("u")|`

= `-(8hat"i" + 3hat"j" - "k")/sqrt(64 + 9 + 1)`

= `(-8hat"i" - 3hat"j" + "k")/sqrt(74)`

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Algebra of Vectors
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Chapter 1.5: Vectors and Three Dimensional Geometry - Very Short Answers

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SCERT Maharashtra Mathematics and Statistics (Arts and Science) [English] 12 Standard HSC
Chapter 1.5 Vectors and Three Dimensional Geometry
Very Short Answers | Q 4

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