_3. If u = [2, 3, 4] and v = [− 7, — 6, — 5] find v • и a) - 52 _4. If u = [2, 3, 4] and v = a) √486 - b) [− 14, — 18, – 20] c) - - - 27 - d) 9, 9, 9] [− 7, – 6, – 5] find w orthogonal to both u & v - b) [9, 18.9] - - c) [− 14, – 18, – 20] d) [- 9, — 9, — 9]

Use Cramers rule to solve 2x-y+2z=6x-y+z=2x+y+2z=9.

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)