3.) Show that a.) (A - B)• (A + B) = A² - B² b.) (A - B) × (A + B) = 2 A × B Hint: Use the distributive laws A. (B+C) = A B + A · 2² A x (B+C) = A × B + A × =

Q: Example 2; find 0 between A and B? A = 2î + 3ĵ + k , B = 3î – 2ĵ + k |

A: Dear student,                     According to the guidelines I am allowed to answer only one…

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Q: Problem 2: The force along rod AC is 1000 N. a) Express the force on rod AC, FAC, as a Cartesian…

A: From the diagram, the coordinate of point A or point C is: The vector along rod AC is:

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A: Given that, The vectors A and B are A→=-9i^+7j^B→=-6i^-10j^ the magnitude of the vector C is C→=9…

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A: Concept: Given: For Part A A→=4i^+9j^B→=5i^-5j^ For Part B A→=4i^-5j^B→=5i^+9j^ For Dot Product:…

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A: Third option is true f(x, y, z) = f(y, x, z)

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A: Given : a = 2i-j+2k b = 4i-3k

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Q: 47. Write as a single integral in the form f(x) dx: f(x) dx + f(x) dx f(x) dx

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A: Answer..

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Q: Q1) Given points A(p= 5, 6 = 70°, z -3) and B(p 2, 6 =-30°, z = 1), find: (a) a unit vector in…

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Q: 1. Name the property of vectors operations illustrated a.Ú+V=V+ù v b. c ba²+ (b + c) = (a + b) + a…

A: There are different rules in vectors that need to be followed in case of their operation. These are…

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A: There are many subparts so we will solve first 3 subparts for you. if you want the solution for rest…

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Q: Given points E(2,5,1), F(-1,4,-2), and G(3,-2,4), find: (a) a unit vector directed from E towards F;…

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Q: Express the unit vector a, in spherical components at the point: (a) r = 2, 0 = 1 rad, p = 0.8 rad;…

A: The unit vector ax in spherical components is given by Where Because

Q: 5. If A = 3å + 2ŷ + 2½ and B = 2ê + 3û – 2, find (a) Ã × B (b) The unit vector pointing in the…

A: a) Calculate the cross product of A and B.

Q: Three vectors are given by: d = 21 – 35 + 5k, B = -2î + 7 – k and č = aî + 2ĵ – 4k. a) Find a, 2 ,…

A: We have been provided with three vectors so, we will solve them by breaking them into steps.

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Q: Example 2; find 0 betweenA¨and B? A¨=2î +3j +k , B =3î -2j +K

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

Q: Find the area of the triangle determined by the points P, Q, and R. Find a unit vector perpendicular…

A: Solution:-Given thatPoints-P:(-1, 1, -2)⇒OP→=(-i^+j^-2k^ )Q:(-2, 0, 1)⇒OQ→=(-2i^+k^ )R:(0, -2,…

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Q: Question 6 Solve the following given vectors A, B and C: A = 2î + 33+ k %3D B = -4î + 23 - k C = 21…

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