2. Given the vectors A = 3ax - 8ay - 2az, B = -2ax + 6ay + 3a, and C = -2ax + 4a, 9az %3D %3D - determine the following: а. (Ах В) х с b. Āx (B x C) c. Comment on the importance of the parentheses in indicating which cross product is to be taken first.

Q: Given A = [1; 2; 3]; B = [4; 5; 6];, find the array product of the two vectors.

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Q: Fig-2 Q/ Complete the derivation of calculating RMF magnitude for points 2,3,4 in figure-2 with…

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Q: Consider the vectors A =4ag+2ka,+az and B = ax+4ay-1baz value of k the two vectors A and B will be…

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Q: If A = ax + 3az and B = 5ax +2ay - 6az. Find the Dot product of vector A and B

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Q: a). Assuming state vector to be write down the state space model for the system in matrix form. b).…

A: The SFG diagram of the system will be

Q: العربية - الإنجليزية - ( الإنجليزية Q1. Consider the vectors A-4ax+2kay+kaz and B= ax+2ay-2az what…

A: If two Vectors are orthogonal , then their dot product of two vectors is zero.

Q: Solve the following equations by using Cramer's Rule and Gaussian Elimination Method 2x + y - z = 1…

A: This is a very sipmle question based on linear alzebra topic of engineering Mathematics. In this we…

Q: Q1.If à = 2a, + a, - 3a, and B = 4ax + 2a, – 3a, are vectors, find (only two): (a) Ả ·B (b) ẢxB (c)…

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Q: Show that the following vectors are orthogonal: Ā= 4a, + 6ã, – 2ã, and B= -2ä,+ 4ã, + 8ã:

A: Note : We are authorized to answer one question at a time, since you have not mentioned which…

Q: O1: - Calculate the angle between two vectors M=2 ax +4 ay and N= 6 ay - 4 az using a) The cross…

A: Given vectors are M→=2a^x+4a^y=(2,4,0) N→=6a^y-4a^z=(0,6,-4) a) Cross Product: By using cross…

Q: Q1: - Calculate the angle between two vectors M= 2 ax + 4 ay and N = 6 ay 4 az using a) The cross…

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Q: The following vectors are given: M=-10ax+4ay-8az and N=8ax+7ay-2az. Find the unit vector in the…

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Q: ) find the wunt vector V= si - zj

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Q: Consider the vectors A 4ax+2kay+az and B = ax+4ay-4a, what value of k the two vectors A and B will…

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Q: 3- If x= [ 26 12; 15 6 3; 10 11 1], then replace the first row elements of matrix x with its average…

A: Given, Matrix is x=[ 2 6 12; 15 6 3; 10 11 1] Here by using MATLAB, we can get the result.

Q: Let vectors A=10ax-6ay+8az and B=ax+2az, Find:  (a) A • B (b) A x B (c) 2A - 3B

A: Use basic vector algebra rules to find the unknown values .

Q: • Dot products of unit vectors in spherical and rectangular coordinate systems a, ag - sin ø sin 0…

A: This is a simple question based on electromagnetic field theory subject . In this the coordimates of…

Q: Q1: - Calculate the angle between two vectors M= 2 ax + 4 ay and N= 6 ay - 4 az using a) The cross…

A: By cross product M×N=M×Nsinθ we will find angle between M and N By dot product M.N= M×Ncosθ

Q: Question 9 Consider the vectors A =4ag+2ka, ta, and B = ag+4ay-16a, what value of k the two vectors…

A: Given  Find the value of k

Q: Given the vectors below, find A • B A = 15a, + 12a, - 5az B = 10a, - 8a, %3D Select the correct…

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Q: Given A = 4a + a_and vectors B = 2a_ + 3a , find the scalar projection of A on B.

A: The detailed solution is provided below.

Q: 2. If A = 2a, + 0.3a, – 1.5a, and B = 10a, + 1.5a, – 7.5az, Show that A and B are dependent vectors.

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Q: Gven: A(2,2,5) and B(-1,3,-4) determine the displacement vector RAB- a. O b. C. O d.

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Q: 4. Express the position vector r = xa, + ya, + za, in the spherical co-ordinate system.

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Q: Given the system represented in state space as follows: * -7 6 * =|-5 4 3 x+ -8] 7 y = [9 9 8]x…

A: Given X  ˙=Ax+Bu Y=Cx+Du A=-1-76-54347-85 B=-5-15 C=998

Q: 16. Determine a scalar c so that the given vectors are orthogonal. (b) a = (c, ½, c), b = (−3, 4, c)

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Q: Q1) For the two vectors: A = - ay +2az, B= 3ax - 2ay + az find: 1) 2A+ B 2) the angle between A and…

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Q: 5. determine if the two vectors are parallel, orthogonal or neither a) q = (4,-2,7), p = -3i +j+ 2k…

A: a) Given  Two vectors  q=4i-2i+7p=-3i+j+2k

Q: The cross product of two non-identical vectors is always new vector parallel to both of them. O True…

A: We need to tell about whether the given statement is true or false.

Q: Consider the vectors A =4ax+2kay+az and B = ax+4ay-8az what value of k the two vectors A and B will…

A: Given  the vectors A =4ax+2kay+az and B = ax+4ay-8az what value of k the two vectors A and B will be…

Q: Given the two vectors rĄ = –ax – 3a, – 4az and rg = 2ax + 2a, + 2az, and point C(1,3,4), find: a.…

A: The solution is given below

Q: QI: Find all unit vectors parallel to JZ plane and perpendicular to the vector ū = 5i -j + 2k %3D

A: Vector which is parallel to YZ plane is, This vector is perpendicular to Therefore, dot product of…

Q: Note: Cartesian unit vectors i.j,k are axayaz respectively. That is i - ax j-ay, k=az- Given F (2,y,…

A: So we have to find the curl of the given vector F.

Q: The sum of 2D RCS vectors (A + B) is equal to 7a, + 13a, while their difference (A - B) is equal to…

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Q: ctor A-2ax+ay+2az and vector B=2ax+ay+2az, the cross product of A and B is

A: Here the ans is option d.

Q: Given A = -4a, + 2a, + 3a, and B = 3ax + 4ay - az, find: a. The magnitude of 5A - 2B b. A unit…

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Q: If vectors A = a, + a,, B = a, -az and C = 2a, + a,. Find A x B а. 2а, — а, — 2a, b. – 2az – ay +2a,…

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Q: Q) If A = 2ax + 3ay + 4a, B = 5ax - 2ay - az The vector component of A on B is:

A:

Q: 2. If A = 2a, + 0.3ay – 1.5a, and B = 10a, + 1.5ay – 7.5az, Show that A and B are dependent %3D…

A: Given that  A=2ax+0.3ay-1.5azB=10ax+1.5ay-7.5az It is known that, if two vectors A and B are…

Q: Find the rectangular components of the vector H = 20a, - 10a, + 3a, at P(x = 5, y = 2, z = 1). Match…

A: The solution is given below  Hy=22.283 Hx=-1.857 Hz=3

Q: Rxy+ Rxc XC XY Зах- 10ay - баz О бах- 20ау - 12az О Бау - Заz О 10ay + баz

A:

Q: 4. Express the position vector r = xax + ya, + za, in the spherical co-ordinate system.

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Q: 1) Given vector A 6ax + ay, express A in cylindrical and spherical base vectors. 21 Given vector A =…

A: In this question vector A is given....We have to convert it in different coordinate system.....…

Q: 图 . Consider the vectors A =4ax+2ka,+kaz and B = ax+4ay-4az what value of k the two vectors A and B…

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Q: If A - B = 0, is it necessarily true that A = B? (A and B are vectors) Select the correct response:…

A: Let A = Axax+Ayay+Azaz and B = Bxax+Byay+Bzaz

Q: Transform given vector A into spherical system. A = xax +y ay + z az

A: The given is cartesian coordinates are given by (x,y,z) the spherical coordinates are expressed in…

Q: Consider the vectors A 4ax+2ka,taz and B= ax+4ay-32az what value of k the two vectors A and B will…

A: Orthogonal vector defined by A.B=0 Dot product of two vector is zero

Q: 2. Transform the ff. vectors to spherical coordina b) 10a₂ at M(r = 4, 0 = 110°, ¢ = 120°).

A: Spherical coordinates are nothing but the way of representing a point in a three dimensional space…

Q: The positive sequence component which has three vectors of equal ........... but displaced by 120°

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Q: Consider the vectors A =4ax+2ka,taz and B = ag+4ay-32a, what value of k the two vectors A and B will…

A: Orthogonal vector have dot product zero . Given vector A and B