Which of the following properties is incorrect about the cross product? (a) The vector product is perpendicular to the plane of the two vectors. (b) The vector product is zero for any two tangential vector fields. (c) The magnitude of the vector product of two vectors represents the volume bounded by the two vector fields. (d) The vector product is distributive but not commutative. O a. (c) O b. (a) Ос. (d) d. (b)

Q: 1-Find the value of (a) so that the given two vectors are orthogonal. U=-2 i+4 j+ak, V= 2 i-4j+5k.…

A: It is given that: U→=-2i+4j+akV→=2i-4j+5k

Q: Assume we plane vave with the pollowing eledricol (Ē) pield nlensily vecetor cas lut-t2) the real…

A: In the question they have mentioned the plane wave of electric field component.   They are…

Q: Find the divergence and curl of the following vectors: i. P=r sinø î +r²z® + z cos Ø 2 ii. Q = cos 0…

A:

Q: Given the two vectors M= 5a, – 2a, + 4a, and N=- Sa, –7a,+2a,. The unit vector in the direction of…

A: Given Data: M = 5ax -2ay +4az N= -8ax-7ay+2az

Q: Two vectors (M = 4ax-oay) and (N = bax-Lay-ɔaz), find the vector perpendicular to these vectors?

A:

Q: Find the unit vector

A:

Q: a) b) C) d) - Let A = 2ax-4ay - 3az and B = 3ax -2ay - az Find a unit vector aAB (a + 2a + 2a, )/9…

A:

Q: The cross product of two vectors yields a vector. Select one: True/ False

A: The given statement is true. The cross-product of two vectors gives the magnitude of the…

Q: Integral of Vector A= 2p sin(9)ap +0.5z2cos(p)az along L1 L2 L1 180° L3 30° -5 20 -12.5 12.5

A:

Q: Moving to another question will save this response. Question 14 The divergence of the vector field A…

A: The detailed answer is solved below according to the given parameters and instructions in the…

Q: For any vectors u, v, and w in V3, (u + v) X w = u X w + v X w.

A: In the solution the concept of cross product and addition of vectors is explained.

Q: P1. 17. Given the components of vector Q, Qx-2 :Qy - -3:Qz - 1, which of the following is…

A: We need to find perpendicular vector to given vector

Q: Two vectors "A" and "B" are in x-y plane and the angle from the vector B to A is 30°, measured…

A: We need to select correct option.

Q: The operator 'B' which should cause 120° rotation in anticlockwise direction when multiplied by each…

A: Given that  Beta ( B )=1< -120°

Q: Need urgently

A: According to question:

Q: if two vectors are A=i-2j+k, B=3i+5j-5k, what are the components of B parallel and perpendicular to…

A: (−2i+4j​−2k)       and   (5i+j​−3k)Explanation:

Q: The vector field pattern of A = 3yax is Y4

A: A = 3y ax^   Hear the direction of propagation of electric field is along X direction which is + X…

Q: A = yar + ay + Vx2 + y? Transform from Cartesian to cylindrical coordinates.

A: In this question we will convert Cartesian yo cylindrical coordinates...

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

A:

Q: Which one of the following equalities is correct for arbitrary vector functions A, B, C? Seçtiğiniz…

A:

Q: Draw vector diagrams for that circuit and from the table

A: Let AC source voltage as a reference and its value is defined as given below,

Q: × ċ is Given Å = { – ŷ + 22, B = -8 + ŷ + 2 and Č = & + ŷ + 24. Vector (Ả × B) × î12 – ŷ12 x12 – ŷ12…

A: we need to determine (A*B)*C.

Q: For the given vectors V₁ and V2, determine V₁ + V2, V1 V₁xV₂ V₂ x V₁, and V₁ V₂. Consider the…

A:

Q: Consider the vector diagram shown in the figure below, calculate the power factor. X = 42 R= 3 N O…

A:

Q: The vector fields are defined as A= aρ +2aφ +3az , B = 0.5αaρ +0.5βaφ -6az , both vectors are…

A: It is a question related to property of parelleism .

Q: nd a unit vector perpendicular to both vector J = âx + 2ŷ + î and vector K = -3â + 1ŷ %3D

A:

Q: B. The distance vector R12 can be obtained from vector 1 and vector 2 by Subtracting the 2nd vector…

A: Given

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: PROBLEM: A particle moves in a straight line according to the law s-t³-40 where s is in feet and t…

A: Given data, Function of distance, s=t3-40t ft Time is given t = 4 sec

Q: (a) Put A into polar form and B into Cartesian form. (b) Compute the sum A + B. Show operation as a…

A: Given that, A=3+j3 (cartesian form:x+jy) B=10exp:(j?/3)    (polar form: x exp(jy) (a) Convert A…

Q: L A Moving to another question will save this response. Question 6 Consider the vectors A…

A: Given  Two orthogonal  vector find k value

Q: 2. Given the vectors A = 3ax - 8ay - 2az, B = -2ax + 6ay + 3a, and C = -2ax + 4a, 9az %3D %3D -…

A:

Q: What are the basic laws of vector algebra and how are they used in electrical engineering?

A: Vector algebra is a fundamental branch of mathematics that deals with operations involving vectors.…

Q: 1. Find the absolute value of the vector P = 21 - 6j + gk and express its direction as a unit vector…

A: Given  P= 2i-6j+9k

Q: The vector fields are defined as A= ap +2ao +3az, B= 0.25aap +0.25ßam -6az , both vectors are…

A:

Q: Vector A=3 Gx +4cy + 5ậi BE Sâx - Gây - 3ầz 2. find A.B

A:

Q: Gven: A(2.5.7) and B(-1,3.-4) determine the displacement vector RAB. O a. O b. 3.2.-11 O d.

A: We need to find out given vector

Q: The resultant of cross product of two vectors is a new vector perpendicular to .both of them True O…

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

Q: If only the cross product of two non-zero vectors is zero, then these vectors are prove that it is.

A: If only the cross product of two non-zero vectors is zeto then these vector are parallel to each…

Q: The dot product of two vectors

A: Dot Product  Let vector a¯=a1,a2,a3b¯=b1,b2,b3 The DOT product of vector a and b is given as…

Solenoidal Vector Field

In Physics and Mathematics vector calculus attached to each point in a subset of space, there is an assignment of a vector in a field called a vector field.