1. Consider the two vectors A 4i -2j and B--i-3j. a. Calculate A+ B b. Calculate A- B c. Calculate AE d. Calculate A- B e. Calculate the directions of A+B and A - B

Q: Given vectors, Ā = 21 + 4)-7k Č = 21 – 4j – 7k B=-21+4]-7k. D=21+4) +7k Solve the following: 1.…

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Q: 13. (II) For the vectors shown in Fig. 3–38, determine (a) B – 2Ã, (b) 2Ã – 3B + 2C. a) - 92.5î -19…

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Q: 7) Given three vectors, A = 2.00 1 – 5.00 j, B = 4.00 ĵ, and C = 3.00 î, evaluate the following…

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Q: Two vectors are given by Ū=4i-j+3k and V=-i+2j+k What is ÜxV ?

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Q: 1. Please refer to the following vectors: A = 6i + 2j - 3k B = 3i - j - 2k C = -i + j - 4k D = j -…

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Q: 11 Given the vectors A, B and C. Find the following: A = 3i + 5j - 2k; B = −4i + 2j + 3k; C = 5i -…

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Q: Two vectors are given by, a=2i+3j-k b= -i-2j+k Find  a) a.b b) axb

A: Two vectors are given by  a=2i+3j-kb=-i-2j+k (a) a.b  Taking dot product of a and b we get…

Q: Q. 14 Calculate the x-component and y-component of the following vectors: Draw the given vectors on…

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Q: 1. Please refer to the following vectors: A = 6i + 2j - 3k B = 3i - j - 2k C = -i + j - 4k D = j -…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 1. Vector I is 20.00 km southeast, Z is 14.00 km west, A is 12.50 km 35° W of S, and L is 15.00 km…

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Q: a1) The vectors Cand M are given by C-3ij-sk and M-i+2j+2k. Determine: a) The vector product of C…

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Q: A tumbleweed sits in the middle of the desert. A strong wind pushes it 10 meters east, and it…

A: Given data: Displacement due to wind  = 10 meters, towards East Displacement due to rolling = 5…

Q: Q2/Two vectors are given by A= 3i-2j and B=-i-4j calculate a. A +B b. A-B c. /A+B/ d. /A-B/ and e.…

A: A = <3,-2> B = <-1,-4> A+ B = < 3-1, -2-4>  A-B = < 3+1, -2+4>  Thus the…

Q: 11 Given the vectors A, B and C. Find the following: A = 3i + 5j - 2k; B = −4i + 2j + 3k; C = 5i –…

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Q: Consider the two vectors A = 2.9i - 1.1j and B = -1i - 4.2j a) Calculate A + B 1.90 i -5.30 j b)…

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Q: 1. Please refer to the following vectors: A = 6i + 2j - 3k B = 3i - j - 2k C = -i + j - 4k D = j -…

A: The dot product of two vectors is equal to the product of the magnitude of the two vectors and the…

Q: Determine the angles made by the vector V = -60i + 44j with the positive x- and y-axes. Write the…

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Q: 63 Here are three vectors in meters: d = d2 = -3.0i +3.0j + 2.0k -2.0i-4.0j + 2.0k dz=2.01 + 3.0j +…

A: Given

Q: 1. A truck has lost its brake and falls into 25.0 m deep ravine and lands at a distance of 30.0 m…

A: "Since you have asked multiple questions, as per instructions to us, we will solve the first…

Q: 12. Two vectors are given as follows: A = 3i + 5j- 4k B = 3i + 4j + 2k The vector sum of two vectors…

A: Data  we have A→=3i^+5j^-4k^B→=3i^+4j^+2k^

Q: (T – 7) – w = T - (7 – W) for all 2-vectors ư, ơ, and w.

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Q: 1. Given two vectors A = 70 m 60° N of E and B =35 m 30° S of E. Determine their resultant…

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Q: S: Two vectors lying in the xy plane are given by the equations A=51-2j and B-21-3j. AxB equals: 19k…

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Q: 7. A particle moves in plane polar coordinates by r = ce4mt and 8 = 5bt where c, m, and b are…

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Q: 2. A pitcher throws horizontally a fast ball at 157 km/h toward the home plate, which is 18.1 m…

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Q: 3- Two vectors 4 2i +3) and B=-i+2) lying in the xy-plane, the 4×B can be written AxB-2 3 0-76 -1 A:…

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Q: 2- Determine the velocity vector of block A when block B is moving downward with a speed of 20 ft/s.…

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Q: If the vectors A = 6i + dj + 4k and B=i-j+k are perpendicular (lai).What is the value of d? O there…

A: Given that---- vector A = 6i +dj +4k Vector B = i - j + k Question ❓ what is the value of d ?

Q: Two vectors  V= 2i-j+k   And w= 2i + 3j - 2k determine  ll 2v - w ll

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Q: (H.W)2Three vectors are specified as follow: is 5m at 45° N of E, is 7m at 60° È of S, and is 4m at…

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Q: urunciogralI IS [A X B] ? (H.W) Three vectors are specified as follow: is 5m at 45° N of E, is 7m at…

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Q: 6. For vectors = -î – 4ĵ and à = -31 – 2j, calculate: a. Ā+B and its magnitude and direction angle…

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Q: 3] The angle between the vector r = 2i- j- 3k and the positive z-axis is:

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Q: Q3. Four vectors (A, B, C, D) all have the same magnitude. The angle e between adjacent vectors is…

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Q: 5- Find the resultant and directions of these vectors A1-4i-3j A2=- 3i+2j A3=2i-6j A4=7i-8j As=9i+j

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Q: Which are incorrect for the K, L and M vectors given in the figure?

A: I and III are incorrect.

Q: Q2) The vectors A and B are given by A=2i+6j-3k and B=i-j+k, Find the angle between A and B 8:20 PM

A: In the given question, two vectors A and B is given and we have to determine the angle between these…

Q: Determine the angles made by the vector V = -41i + 54j with the positive x- and y-axes. Write the…

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Q: A= 2i + i. B=i- 4i +k. and C=i+k.

A: If we need to measure direction of given vector A= Axi + Ayj above x axis  direction theta =…

Q: 8 Consider the two vectors given in the figure, what is their SUM in the unit vector notation? *…

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Q: 6) Given the three vectors A = 1.00 î - 4.00 j, B = 3.00 î, and Ĉ = -2.00 j evaluate the following…

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Q: 9- When two vectors A // B, then |AxB| will be equal to? O A) 2A OB) AB OC) 2B

A: Given  Two vectors A and B are parallel to each other . Angle between A and B is zero.

Q: Q3: Two vectors A = i+ 3j - 2k B= -i + 2j +3k Find: а- А - 2B b- A. B

A: a) Evaluate A-2B using the addition of vectors.

Q: Given two vectors: M = -31 + 6j – 5k and Ñ = -21 + 3j + k The expression 2Ń - Mis: -i+7k B -121-36j…

A: According to question we need to find 2N-M.

Q: A force F=3i-4j N acts on a particle that undergoes displacement AF=-7i+jm What is the angle between…

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Q: 11. Please refer to the following vectors: A = 6i + 2j - 3k B = 3i -j - 2k C = -i + j - 4k D =j-3k E…

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Q: Determine the angles made by the vector V = (-63)i + (-31)j with the positive x- and y-axes. Write…

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Q: ind (A X B) • C given the following vectors: Ã = 21 + 5) B = -31 – ]+ 2k Ĉ = 1+ 4j -26 16 6. D No…

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Special Relativity

The theory of special relativity discusses how space and time are related to objects traveling along a straight line at a constant speed. Simply stated, as an object reaches the speed of light, its mass becomes infinite and it is unable to move faster than light. This interstellar speed limit has been the topic of much debate in astronomy, and also in science fiction when people consider how to fly over large distances.