Find the Cartesian product or cardinal number as requested. A = {10, 6, 11} B = {14, 2} Find A x B. {(10, 14), (6, 2)} {(10, 14), (10, 2), (6, 14), (6, 2), (11, 14), (11, 2)} {(14, 10), (14, 6), (14, 11), (2, 10), (2, 6), (2, 11)} {(10, 14), (6, 11), (11, 14)}

Q: Determine if the statement is True or False. If a statement is false, explain why. {1, 8, 6, r} =…

A: We have given that two sets such that  {1, 8, 6, r} = {6, r, 1, 8} We have to explain whether it is…

Q: Find the sets A and B if A – B = {1, 5, 7, 8}, B – A = {2, 10}, and A nB = {3,6,9}. %3D

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Q: Given A = {2, 5, 7} and B = {4, 5}, find B × A. O {(2, 4), (2, 5), (5, 4), (5, 5), (7, 4), (7, 5)}…

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Q: Find the indicated set given A = {- 2,1,4,6,8,11,15}, B = {- 6, – 3, – 2,1,7,9,11}, and C= {-…

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Q: If a=[5,-2,4] and [0,-2,3], find a -16 O [-2,15,10] [2,-15,-10] O [-2,-15,10] 10 xò.

A: a→=[5,-2,4]b→=[0,-2,3]

Q: let a1 is (-3,2,6) a2 is (-9,-7,-2) and b is (-18,-27,-23). Is b in the span of of a1 and a2

A: The objective of this question is to determine whether the vector b is in the span of vectors a1 and…

Q: -1, 2, 7, 14, .. Find a,

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Q: If a statement is false, explain why. {1, 8, 6, r} = {6, r, 1, 8}

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Q: Compute the dot product of (5, -4, 4) and (1, 0, 1) (Give an exact answer. Use symbolic notation and…

A: We have to find the dot product of 5,-4,4 and 1,0,1.

Q: What is the cartesian product of sets {1,3,4} and {2,9}?

A: 1, 3, 4  and 2, 9

Q: Use the distance formula to decide whether the three points are vertices of a right triangle. 13. (…

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Q: Determine the area of the triangle with vertices (9, 1, 6), (9, 1, 7), and (12, 1, 7).

A: Let the given vertices be A=9,1,6, B=9,1,7, C=12,1,7. Find the area of the triangle. The formula to…

Q: Find the intersection of the sets. {1, 3, 7}∩{2, 3, 8}

A: It is given that, {1, 3, 7}∩{2, 3, 8}. Note that, the intersection contains the elements that the…