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= (a_x)/(|a|)i+ (a_y)/(|a|) + (a_z)/(|a|);`.
2. |a|=√(36+1+25)=√62;
3. equation of the unit vector 'c' is:

`c= (6)/( √(62)) i- (1)/( √(62)) j+ (5)/( √(62)) k;`