Question 3 a. A method of completely specifying the direction of a vector in space relative to some reference point is to use three unit vectors ik mutually at right angles to each other. If a = ai+a,j+a,k and b=b+bj+b,¢ are two vectors (i) show that the angle between the two vectors is given as ab.+ a,b, + a,b, 4,6,- 0 = cos COS (ii) Find 0, if f a = 1, a, = 5, a = 2, b, = 7, b; = 1.5), b = 4

Q: Z = 3.1 KOL65° Z2 = 6.1 kOL-15° 1. Zr = Reose Rsino Ex = Ey = %3D

A:

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: Two vectors are defined as A = a, +5a, +3a, and B = 3a, +2a,+ a,. Which of the following vector is…

A: Given vectors are: A = ax + 5ay + 3az B = 3ax + 2ay + az We have to find which of the vector is…

Q: Calcule las integrales de línea vectorial F * dr de los vectoriales dados A) El campo vectorial…

A: Step 1:Step 2:Step 3: Step 4:

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: What is the magnitude of the resultant vector's unit vector? (Resultant vector of the two vectors…

A: Force is applied in 3 dimension. Determine the resultant force?  Unit vector of resultant force?…

Q: Q1) Find two unit vectors that are parallel to the xy- plane and are orthogonal to the vector w=āx -…

A:

Q: Given A=ax+ay, B=ax+2az, and C=2ay+az, find (AB)×C and compare it with AX(BXC). Problem Solving 15

A: Since you have posted the multiple questions so we are supposed to answer the 1st answer.In the…

Q: Two vectors are defined as A = a,+5a, +3a, and B = 3a,+2a,+ a,. Which of the following vector is…

A: The given vectors are:  A→=ax+5ay+3azB→=3ax+2ay+az The sum of the vectors is,…

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.