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

Sum

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

#### Solution

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

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

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

Concept: Algebra of Vectors
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