1. Find a unit vector that is orthogonal to both u and v.

u=\left \langle -8,-6,4 \right \rangle v=\left \langle 17,-18,-1\right \rangle

Take the cross product of and , then divide the cross product by its norm.

which has norm

Then the unit vector is

(and is unique up to its sign, meaning you can multiply this vector by -1 and still be correct)

2 over 5

step-by-step explanation:

the 2: 3 ratio is the length of the ac segment to the cb segment total length. this implies that the ratio between segment ac length and segment ab length is 2: 5. point c is 2/5 from a to b, so the required fraction is 2/5.