Question

# For given vectors, and , find the unit vector in the direction of the vector

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Solution

## The given vectors are and. Hence, the unit vector in the direction of is $\frac{\left(\stackrel{\to }{a}+\stackrel{\to }{b}\right)}{\left|\stackrel{\to }{a}+\stackrel{\to }{b}\right|}=\frac{\stackrel{^}{i}+\stackrel{^}{k}}{\sqrt{2}}=\frac{1}{\sqrt{2}}\stackrel{⏜}{i}+\frac{1}{\sqrt{2}}\stackrel{⏜}{k}.$

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