See this solution: 1. if a=6i-j+5k, then equation for unit vector with the same direction: [tex]c= \frac{a_x}{|a|}i+ \frac{a_y}{|a|} + \frac{a_z}{|a|};[/tex]. 2. |a|=√(36+1+25)=√62; 3. equation of the unit vector 'c' is: [tex]c= \frac{6}{ \sqrt{62}} i- \frac{1}{ \sqrt{62}} j+ \frac{5}{ \sqrt{62}} k;[/tex]
