Math Challenges

Problem #15

Vectors

Given the points Q, R, and S:
1) Find vectors QR and RS
2) Are the three points collinear? Explain
3) Find a vector orthogonal to both QR and RS

\[ \displaylines{Q=\left(-3,5,0\right)\\ R=\left(0,1,2\right)\\ S=\left(-3,-1,2\right)} \]