$\"\"$

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The vector is $\"\"$ .

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The two unit vectors that make an angle of $\"\"$ with $\"\"$ .

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The angle is $\"\"$ and $\"\"$ .

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Consider the unit vector $\"\"$ and the magnitude of the vector is $\"\"$ .

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The dot product of the vectors $\"\"$ and $\"\"$ .

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$\"\"$ .

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Substitute $\"\"$ , $\"\"$ and $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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Solve for $\"\"$ .

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$\"\"$

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$\"\"$ .

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substitute $\"\"$ in $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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$\"\"$

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$\"\"$

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The general form of quadratic equation is $\"\"$ .

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Compare the equation with general form.

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Here $\"\"$ .

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Solve the quadratic equation.

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$\"\"$

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Substitute $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ and $\"\"$ .

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$\"\"$ and $\"\"$ .

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Substitute $\"\"$ in $\"\"$ .

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$\"\"$ .

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Substitute $\"\"$ in $\"\"$ .

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$\"\"$ .

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Therefore, the two unit vectors are $\"\"$ and $\"\"$ .

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$\"\"$

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The two unit vectors are $\"\"$ and $\"\"$ .