11 6 linear combinations of x, y, and z, or show that it cannot be done. Let x = 120 and z = TTTT If v 240 and w= 9 either write v and w as

2.2.12 Prove that if x and y are positive real numbers, then Vx +y # Vx+ VJ. Argue by contradiction.

--00-0 = 1. Let ₁ = and 4 = Is the vector b= 1₁ in the set generated by V1, V2, V3, V4? If yes, state a linear combination equal to 6. If not, justify why you know this.

Which one of the following expressions is the value of the cosine of the acute angle between the vectors u = (1,2, 3) and v = (1, –2,3)? 3 (A) 7V2 2 (B) 7 (C) 7/2 3 (D)

Let å = (2,0, – 3) and b = (0, 1, 5). Find b x å, .

Let u =, v = and =. w Now, = is a linear combination of ū, v and w. That is, * = a₁ + a₂ + azú. Determine a₁, a2 and a3 a1 a2 = az || =

Explain why there is a BIBD for any value of v>2 with k=2 and h=1

Let z = æ³ – 3ry? + æ?. Zay Zyæ = Zyy

Express w as a linear combination of u and v. 1 (-) 8 u 1 5 w=u+v (Type integers or fractions.) W - 3 0