Question

In: Math

-Let O (0,0,0) be the origin and A(a+1,b,c) where a,b and c are the last three...

-Let O (0,0,0) be the origin and A(a+1,b,c) where a,b and c are the last three digits of your student ID. Find, describe and sketch the set of points P such that OP is perpendicular to AP

- Let u=<a , b+1 , c+1> find and describe all vectors v such that |u x v|=|u|

a=1 , b=1 , c=9

Solutions

Expert Solution


Related Solutions

Let a, b, c the last three digits of your QUID. Find the dimension of the...
Let a, b, c the last three digits of your QUID. Find the dimension of the rectangular box of maximum volume that can be inscribed in the ellipsoid (x/a)^2+(y/b)^2+(z/c)^2=1 a=4, b=8, c=9
Let A be the sum of the last four digits and let B be the last...
Let A be the sum of the last four digits and let B be the last digit of your 8-digit student ID. (Example: For 20245347, A = 19 and B = 7) On a road trip, a driver achieved an average speed of (48.0+A) km/h for the first 86.0 km and an average speed of (43.0-B) km/h for the remaining 54.0 km. What was her average speed (in km/h) for the entire trip? Round your final answer to three significant...
(A) Let a,b,c∈Z. Prove that if gcd(a,b)=1 and a∣bc, then a∣c. (B) Let p ≥ 2....
(A) Let a,b,c∈Z. Prove that if gcd(a,b)=1 and a∣bc, then a∣c. (B) Let p ≥ 2. Prove that if 2p−1 is prime, then p must also be prime. (Abstract Algebra)
Let: q1 = +A μC q2 = +B μC , at the origin , B meters...
Let: q1 = +A μC q2 = +B μC , at the origin , B meters to the right of the origin , A meters above q2 , A meters above the origin q3 = -A*B μC q4 = -B/A μC A = 4 B= 5 where: Find the magnitude and direction of the total electric force and total electric field at q3. Let: q1 = +4 μC , at the origin q2 = +5 μC, 5 meters to the...
) Consider a game where player 1’s possible three strategies are a, b and c and...
) Consider a game where player 1’s possible three strategies are a, b and c and player 2’s possible strategies are A, B and C. The players choose their strategies simultaneously. The payoff matrix of the game is as follows:                                           Player 2 A B C    a 8,5 9,7 10,8 player 1 b 6,1 10,3 7,9 c 5,4 8,6 6,4 (5 pts) Is there a dominated strategy for player 1? For player 2? Justify your answer. (5 pts) Is...
Probability Let A, B and C be Boolean variables denoting three independent events with P(A=1) =...
Probability Let A, B and C be Boolean variables denoting three independent events with P(A=1) = 0.7, P(B=1) = 0.3, and P(C=1) = 0.1. Let D be the event that at least one of A and B occurs, i.e., D = A OR B. Let E be the event that at least one of B and C occurs, i.e., E = B OR C. Let F be the event that exactly one of A and B occurs, i.e., F =...
Prove 1. Let f : A→ B and g : B → C . If g...
Prove 1. Let f : A→ B and g : B → C . If g 。 f is one-to-one, then f is one-to-one. 2. Equivalence of sets is an equivalence relation (you may use other theorems without stating them for this one).
Let S be the square centered at the origin with sides of length 2, and C...
Let S be the square centered at the origin with sides of length 2, and C be the unit circle centered at the origin. (a) If you randomly throw a point on S, what is the probability that it will lie in C? Ans: 0.785 (b) Describe how you could use simulation to estimate the probability in part (a). (c) How can you use simulation to estimate a? For part b and c, there maybe a need to generate random...
1. . Let A = {1,2,3,4,5}, B = {1,3,5,7,9}, and C = {2,6,10,14}. a. Compute the...
1. . Let A = {1,2,3,4,5}, B = {1,3,5,7,9}, and C = {2,6,10,14}. a. Compute the following sets: A∪B, A∩B, B∪C, B∩C, A\B, B\A. b. Compute the following sets: A∩(B∪C), (A∩B)∪(A∩C), A∪(B∩C), (A∪B)∩(A∪C). c. Prove that A∪B = (A\B)∪(A∩B)∪(B\A). 2. Let C0 = {3n : n ∈ Z} = {...,−9,−6,−3,0,3,6,9,...} C1 = {3n+1 : n ∈ Z} = {...,−8,−5,−2,1,4,7,10,...} C2 = {3n+2 : n ∈ Z} = {...,−7,−4,−1,2,5,8,11,...}. a. Prove that the sets C0, C1, and C2 are pairwise disjoint....
. Charge q1= 1.80*10-8 C is placed at the origin O. Charge q2 = -7.20*10-8 C...
. Charge q1= 1.80*10-8 C is placed at the origin O. Charge q2 = -7.20*10-8 C is placed at point A ( x =0.180 m) as shown in the figures. a. A charge q3 = 2.5 *10^-8 C is placed at point B ( x = 0.0900 m) as shown in fig.a. Determine the net force F3 exerted on charge q3 by q1 and q2. Give your answer unit vector notation. b. The charge q3 is now placed at point...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT