Question 1: Prove that the vector a+ vector2b + vector c , vector a + vector3b – vector2c , vector a + vectorb + vector4c are linearly dependent.

Question 2: Prove that if vector a= vector i + vector 3j – vector 2k and vector b= vector i – vector j – vector k, then vector a and vector b are perpendicular.

Question 3: Find: (a) the magnitude of vector RS where R: (-1, 2, 0) and S: (5, 5, 6); (b) a unit vector in the direction of vector RS.

Question nr. 4 is also but if you want to answer it too so here it is: Find the magnitude of the vector xi + vector yj + vector zk.

Sorry I didn’t have any kind of math program to write the questions more clear, so I wrote them in word I hope you understand it.