1. Let the universal set be the set S = {1,2,3,4,5,6,7,8,9,10} and let A= {1,2,3,4,5} , B = {2,4,6} and C = {3,6,9} Find: a. ANB= b. AUB = c. A-B= d. A° = e. P(C) = f. B×C=

Q: 1. Given the points P(5, 3, - 4) and Q(7 - 1, - 3), find the following: a. the vector PO b. PQl

A:

Q: Let A = {3,4, 5, 6, 7}, B = {5, 6, 7, 8,9}, and C = {4, 7, 9}. Let U, the universal set, be…

A:

Q: Ex 3.7.1 Construct the correspondences between the indicated sets. a) Z10 and Z2 × Zg b) Z15 and Z3…

A:

Q: Let U be the set of all triangles in a plane. If A is the set of all triangles with at least one…

A:

Q: §7. (6 p) Let each set S1, S2 be formed by only one vector: S₁ = { Is S₁ LI, LD or neither? Is S2…

A: To determine if the given sets  S1​  and  S2​ , and their union, are linearly independent (LI),…

Q: (5,,1) and i = (-8,6, –7), find the length and direction of u x v and v x u. '7 1 2' 2 Length of u x…

A:

Q: How many points need to be in a set in R° to guarantee that the set is affinely dependent? А. 11 В.…

A: According to the given information, it is required to tell the number of points in a set R9 to…

Q: Suppose v = (2, 5, 4), |w| = 3 and the angle between v and w is 30◦ (a) Find v · w (b) Find compvw…

A:

Q: Given the following​ sets, find the set left parenthesis Upper A prime intersect Upper B right…

A:

Q: §7. (6 p) Let each set S1, S2 be formed by only one vector: S₁ = { Is S₁ LI, LD or neither? Is S₂…

A: In linear algebra, a set of vectors is said to be linearly independent if no vector in the set can…

Q: Let A = [3, 8], and B= (-00, 4). Choose sets that are infinite and uncountable. O P(ANN) O P(AnQ) O…

A:

Q: If vector r = ❬5, 11❭ and s = ❬9, –8❭ then which is r – s?  a r – s = ❬–14, 3❭  b r – s = ❬–4, 19❭…

A: r=5,11 and s=9,-8

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.