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Construct a venn diagram describing the sets
1. (AuB)n(BuC)
2. (AnB)u(BnC)
3. (CuA)nB
4. B' u C
5. AnB'
6. A u B' u C
7.A n B n C'
8. A' n B' u C
9.An(B'uC)
10. (A'uB) u (BnC)
11. (AuB) n (B' u C')
12.(CuA')nB
12. Given linearly independent vectors v and w, which one of the statements below is always correct when u=(w.w)v - (v.w)w A) w is orthogonal to v. B) u is orthogonal to v. C) u is a unit vector. D) u is orthogonal to w. E) u is the cross product of v and w.
3. Let u and v be vectors in R3 such that ||u|| = 2, |v|| = 5, and u.v=3. Then ||u - vll= (A) 35 (B) /43 (C) 43 (D) 23 (E) 29
