2. Let each of the vector A = -8ax + 2a, – 4az, B = 3ax – 4ay+ 5a,, and C = 4a, + 5a, extend toward from the origin ofthe Cartesian coordinate system to points A, B, and C,respectively. Find a unit vector directed from point Atoward:(a) the origin(b) point B(c) a point equidistant from B to C on the line BC(d) find the length of the perimeter of the triangleАВС.

Answered: Image /qna-images/answer/658c3311-50dc-4936-9942-8671638301c7.jpg

Answered: 2. Let each of the vector A = -8ax +…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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Given points A=(\rho =5,\phi ={ 70 °},z=-3)A=(ρ=5,ϕ=70 o ,z=−3) and B=(\rho =2,\phi ={ -30° },z=1) find: a)a unit vector in spherical coordinates at A directed toward B
Using the coordinate system named, give the vector at point A (5, -4, 6) that extends to B (-1, 5, 3) a. Cartesian b. Cylindrical c. Spherical
Vector A = <8, 18, -22> in spherical coordinate system at P(-11, 16, 14). What is the magnitude of vector A in the "x" direction in the rectangular coordinate system at P? (Compute up to 4 decimal places)
1. Determine the initial point of the vector <2, 4, -1> whose terminal point is (3, -2, 2) 2. Find the magnitude and angle of the resultant vector if the given vectors are V1=-7i+7J and V2=6i-9j 3. for what values of "a" and "b" are the vectors <a-b, 2> and <4, a+b> equal?
Two points A(2,2,1) and B(3,-4,2) are given in the cartesian system. Obtain the vector from A to B and a unit vector directed from A to B
a. Two vectors A and B are given at a point P(r, Ɵ, Φ) in space as A = 10ar + 30aƟ – 10a Φ B = 3ar + 10aƟ – 20a Φ Determine: 2A – 5B B A X B Repeat the above solution if the two vectors A and B given at a point P(r, Ɵ, Φ) in space reduced by 30 percent. Discuss the differences in solution a and b above.
Given vector A = [5,–8,5] and C = [1,4,–3]. Which is the angle between these vector, if we take the dot product F = A•C? if not in the choices, choose the closestif not in the choices, choose the closest
The point M and N are located at (-7,-7,-7) and (0,9,5) a. calculate the position vector at M and N b. calculate the distance vectors from M and N c. calculate the distance between M and N
Please answer and write correctly and neatly. Given the vector field Ā= 2x2y ax – 2(z-x) ay + 3xyz az:a. Find Ā at P(2,-3,4)b. A unit vector in the direction of Ā at P.c. The scalar equation of the surface on which |A|=100d. The y-coordinate of Q (-3,y,5) if |AQ|=100 and y>0e. The distance between P and Q
Given a scalar field V=2xy-yz+xz i.Find the vector representing the direction and magnitude of the maximum rate of increase of V at pointp(2,-1,0) and ii. find the rate of increase of V at point pin the direction toward pointQ(0,2.6)
Given the points D (5, 20°, −5) to S (2, −80°, 3): find the unit vector in cartesian coordinates at D toward S. find the unit vector in cylindrical coordinates at D toward S.find the unit vector in spherical coordinates at D toward S.
Point charges of -15 μC, 2 μC, and -21 μC are located at (-9, 5, -5), (-5, -6, -7), and (7,-5,-5) respectively, in free space. Determine the component along z of the vector force exerted on the -15μC charge. Round your answer to 5 decimal places.

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