§7. (6 p) Let each set S1, S2 be formed by only one vector: S₁ = { Is S₁ LI, LD or neither? Is S₂ LI, LD or neither? 1 7 Is the set { , } LI, LD or neither? 0 0 -3 }, S₂ = { }.

Determine whether each vector is a scalar multiple of z=(3,2,5). a v=(92,3,152) b w=(9,6,15)

Use a software program or a graphing utility to write v as a linear combination of u1, u2, u3, u4, u5 and u6. Then verify your solution. v=(10,30,13,14,7,27) u1=(1,2,3,4,1,2) u2=(1,2,1,1,2,1) u3=(0,2,1,2,1,1) u4=(1,0,3,4,1,2) u5=(1,2,1,1,2,3) u6=(3,2,1,2,3,0)

2. If , and the vector is drawn with its tail at the point, find the coordinates of the point at the head of .