Solve the following, given: A = 48 + 7j B = 51 – 23+ k C = -i+ 3j+ 2k a) Find the magnitude of yector B. b) Write an expression for A + č. c) Write an expression for 2B -C. d) Find the direction of yector A.

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Q: Consider the array of vectors in the figure below. +y +x K H 1. À + B + Č + D + Ē + F + Ĝ +Ĥ = Ï? A.…

A: Here, based on the array of vectors, shown in the figure, we have to answer (1) to (7). Let's see…

Q: 13

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A: Position vector AB is given by : AB→= 0i^ + 0j^ + 8k^Magnitude of vector AB = (0)2 + (0)2  +(8)2=…

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

Q: Given the following three vectors: A = -9î+7), B = -61-10) and vector C has a magnitude of, 9 and…

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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Q: Problem 2 Identify the Miller indices for the direction shown in (a) and the plane shown in (b).…

A: a The Miller indices for the direction shown is obtained by: x y z=34 12 ∞ Take a reciprocal to get…

Q: For any two vectors A and B, if A.B =0 then the angle between them is Zero aO degree 90.b O degree…

A: Given here for two vectors A and B if A→. B→ =0we are asked what is the angle between vector A and…

Q: c) Identify the Miller indices of this plane: 2/3

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Q: A) Write the vector form of D, E, and F. B) Find F x D · E 7 in E 15 in 12 in F 10 in

A: position coordinates:a: 0,10,0F:12,10,0c:0,0,15g0,0,15e12,0,0

Q: Given the function y =3xyz2î + 2xy³j-x2yzk Find the curl Vxu a. 3yz'i + 6xy2j - x²yk b. Зyz? + 6ху?-…

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Q: Four vectors:  a´ = [1 2 3], b´ = [1 0 -1], c´ = [1 2 3 4], d´ = [2 1]. Compute each of the…

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Q: Find vector fields A such that V = curl A for each given V. 19. V = i(x² - 2x2) + j(y² -…

A: V→=i^(x2-2xz)+j^(y2-2xy)+k^(z2-2yz+xy)Now:V→=∇→×A→

Q: Prove A is perpendicular to A×B [Assume A=Ax i + Ay j +Az k, B=Bx i + By j +Bz k]

A: Solution:-Given thatProve A is perpendicular to A×B

Q: Let /be the line through the point with coordinates (0,1,0) in the direction of the vector 1 0 their…

A: Given, l be the line through the point with coordinates (0,1,0) in the direction of the vector…