4) Simplify the expressions: a) Q = Ã · B · Č + Ã ·B ·C + Ã · B · C + A · B · C

Q: 4-25. A cylindrical region with square cross section has the following potential distributions on…

A:

Q: If A- (3, 0, -5) and B= (-2, 1, 6), what is the magnitude of Å+B? 4.7 O 3.7 O 2.7 O 1.7 O

A: Given data: The vector, A→=xA,yA,zA=3,0,-5 The vector, B→=xB,yB,zB=-2,1,6 Let R→ be the resultant…

Q: DE-5 The Tokyo-Osaka express is moving at 90.0M/S to the left along its track as shown in the figure…

A: When both observer and source are moving relative to each other there is a change in frequency…

Q: 4. If f is a scalar field and F, G are vector fields, prove that: V. (F x G) = G (V × F) – F (V x G)

A: f is a scalar field and F, G are vector fields

Q: If we have two vectors A = 2i + 3j, B = -i + 2j and constant c=3, which one of the following is…

A:

Q: 5. Evaluate the integral by making the given substitution. (Use C for the constant of integration)…

A:

Q: 2. Show that √²(¹) = 0 provided the distance r from a point P(x, y, z) to the origin is not equal to…

A:

Q: A vector field is defined by:  F (x,y,z) = -xi - yj + zk  Select the option that gives F expressed…

A:

Q: fig 5 10tm Me= In Figure 5. the electron on the right side is fixed. and the one on the left side…

A: Given Initial separation between the electrons (Ri) = 10-8 m Initial velocity of first electron = 0…

Q: Prove that (+)* a+ib = a-ib c-id' where a, b, c, d are nonzero real numbers.

A:

Q: 13

A: We are given a boat. We are also 2 forces acting and their directions also. We are given net force…

Q: A circular region (radius R = 79.9 m) has a magnetic field perpendicular to the plane of the circle,…

A: Let S denotes the area vector, B denotes the magnetic field, E denotes the induced electric field, d…

Q: Show that |a + b| ≤ |a| + |b|

A:

Q: Which of the following statements is not true? O None of the given choices. O JA - B| = |B- Al %3D O…

A:

Q: In the shown figure, the length of the side of the square is 2a , if q;=Q is placed at point "7",…

A:

Q: 10) If A,-10 and Á has a direction of 0=122°, what is A,?

A:

Q: Given A - 2i -3j • k. B-i-j+k and C - i -3j • 2k. find (A x B) •C O 7 O -3 3

A:

Q: dy The general solution to the DE In ar a hy. where a and b are non-zero constants, is dx O be-ae…

A: General solution of given differential equation finding by using Seperation of variables method.…

Q: 6. Show that v x 4) da = [(Ax (V/) da + fs. ƒA- dl

A:

Q: Q2- If a = 2 i-j+ 2 k and b = 4 i- 3 k, find the magnitudes of a and b and the angle between them.

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

Q: How do I calculate the slope for the following data? The graph has volts on the y axis and amps on…

A: Given Data regarding current and voltage

Q: 8. A jetliner can travel 1700 mi from Fargo, ND, to Phoenix, AZ, in 4 hr with a tailwind; but it…

A:

Q: The graph shows the speed of a car as a function of time. v (m/s) 16 15 14 13 12 11 10 9 H 19 6 5 4…

A: The acceleration of the car, a =(v2-v1)/(t2-t1) =(13-0)/(9-0) =1.44m/s2    at time t1,v1 =v0+a*t1…

Q: 22. In which of the following graphs was the best straight-line drawn through the data points? Graph…

A: For graph A,the difference between real fs value and predicted using straight line fs value is more…

Q: 1. For E = r sin 0£ +r cos o8 + r sin øo, find V · E and V × E.

A:

Q: If v = (2, 2) and w = (1, –1) , what is |v+ 2w| ? %3D

A: V= <2,2 > W = < 1,-1>  V and W are Vectors  So the vector addition can be apply  2*W =…

Q: 10 V vs t V vs Number of turns 100 60 n 80 1 time (s)? 3 3 1 V vs angle V vs r 0.5 1 50 100 150 200…

A:

Q: 2- The following program's executed result is ( x=1,4,16, x-1,3,7, x-1,5,12). x=0;i=13; while i<10…

A: Initially x = 0 and i = 1    Loop operates until i is greater and equal to 10

Q: - Calculate the commutator (J1e, J²] where J = J, + J=

A: Here the commutator is to be evaluated  J1z, J2 , where J→=J1→+J→2 Here, J2=J1→+J→2.J1→+J→2…

Q: d²µ dx2 + K2»(x) = 0 2mE V K = ħ 2

A: The given equation is a second order differential equation with constant coefficients. This equation…

Q: Let R = A x B and e = 90-where e is the angle between A and B when they are drawn with their tails…

A:

Q: Determine the magnitude of A+B. A = 2i -j+4k B= 4i +2j- k A. V43 B. V46 C.-V46 D. V22

A: Given data:  A = 2i - j + 4k B = 4i + 2j - k Required: The magnitude of A+B

Q: a. Use the Cartesian representation L₂ = 1/(x2-17 - 1²/²7) y i ду дх to show that (x + iy)m is an…

A:

Q: 5 Given v(0)=-7 V and i(t) (in A) is shown below: 4 3 2 1 200mF i(t) v(11) = i(t) (in A) + v(t) - 1…

A: Capacitance: It is quantity that can store charge. Represented by C Given: At t.=0, V=-7volts…

Q: 44. Let A=(2 m)i +(6 m)j – (3 m)k and B = (4 m)i +(2 m)j+(1 m)k. Then A · B equals: A) (8 m)î +(12…

A: Given ,          A = (2m)i + (6m)j - (3m)k          B = (4m)i + (2m)j + (1m)k    A . B = (2m)i *…

Q: on: Determine the number of sig figs fo

A: To determine the significance digits:- Rules for significant figures :- 1) Which digits  are…