Question

Find a unit vector that has the same direction as the given vector.6i - j + 5k

Answer 1

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