Part 1: Given the vector B = pz sin o a, + 3pz² cos o as +º az and point F(3," rad, 2), determine the following: 1. The angle a, in degrees that B makes with the surface defined by p = 3 at point F.

Q: Consider the hypergeometric equationx(1−x)y′′+[c−(a+b+1)x]y′−aby = 0,…

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Q: What is the magnitude of the vector cos 0 i + sin 0j+ 1? 01 O2

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Q: Given a line 2a + y = 2 in the two-dimensional plane, • If a given point (a, 3) satisfies 2a + B >…

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Q: Find the point where the helix r(t) = (cos(t), sin(t), t) intersects the plane z = (х, у, 2) %3D

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Q: Determine the measure of the angle in radians between the planes. 4x - 5y + 5z = -6 y -6x - 9y + 3z…

A: Let, A1x+B1y+C1z+D1=0 and A2x+B2y+C2z=0 be the equation of two plane. Then the angle between two…

Q: Given the vector u = (1, 2), find the magnitude and angle in which the vector points (measured…

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Q: The vector with length 4 and direction k is Di+Di+ j+ k.

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Q: Consider the figure shown below. B' UB L A UA The fiber AB has an undeformed length of L = 1.6 m. In…

A: The formula Normal strain is,                                          ε =δL Where ε denotes Normal…

Q: Table 1.2 Dot products of unit vectors in spherical and rectangular coordinate systems ar ag ay sin…

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Q: Given the point D(-4,5,3) and A = ya, + (x + z)z dy, express the D and A in: Kindly answer in vector…

A: Given the point D=-4,5,3 and A→=yax→+x+zzay→. To express D and A→ in: 1. Cartesian Coordinate system…

Q: The angle between two unit vectors e and f is π/6 . What is the length of e × f?

A: The angle between two unit vectors e and f is π6.

Q: If θ is the angle between two nonzero vectors u and v, then cos θ = ________.

A: If θ is the angle between two nonzero vectors u and v, then    cos (θ) = (u.v)/(||u|| ||v||)

Q: Given the figure below, answer the following questions: B C R E G H 1. The path C to D is consistent…

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Q: Show that the vector v = [a, b, c]* is perpendicular to the plane P with equation ax + by + cz + d =…

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Q: Question 4: : For the following configuration, find B1 vector in Region I. Mi=8Mo i M2= 12mo Bz=6âx…

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Q: Using the vectors P = î cos 0 + ŷ sin0, Q = î cos 9 – ŷ sin o, R = â cos 4 + ŷ sin ø, prove the…

A: (a)

Q: at Q6:- If w = xi + yj + zk nonzero vector. Then show that cos a + cos? B + cos? y = 1, where a, B…

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Q: Find the polar equution for the cartesian curve r=8 sin o Cos o r=8 sec e tan E r=8 sine tan E r=8…

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Q: snip

A: Given the unit vectors v, w  we have to prove :- cosα-β = cos α cosβ+sin α sin β α = the angle…

Q: 19. What is the radius vector of the point on the terminal side of an angle in standard position if…

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Q: If A=(rsinOcosð,-cos2OsinD, tan, Inr) at P(7,0.08 rad,4.66 rad), determine the vector component of A…

A: Given:

Q: 3. if the position function vector r = ti +6tj , find the direction of the vector at time 1 sec جد…

A: The position function vector is,  r=t3i + 6tj To determine the direction of the vector at time t = 1…

Q: Find the angle between the vectors u = cos( /6)i + sin( /6)j, v = cos( 3/4 )i + sin(3/4 )j     (a)…

A: u=cosπ6i+sinπ6j,  v=cos3π4i+sin3π4j Now,…

Q: The vector êr and êe in terms of î and ĵ is given by êr = î cos e + ĵ sin 0, %3D and êe = -î sin 0 +…

A: True

Q: Given the points X(1, -2, 1) and Y(0, 3, -2), find a vector that is collinear with XY and has a…

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Q: 3 Just as in 4] from last HW set, consider the polar coordinate chart for R²: y: (0, 0) × (0, 27) →…

A: We will use basic knowledge of logic and arithmetic to answer this question. Note that this is a…

Q: A ship travels N36°E for 500 nautical miles. In component form, which vector represents this…

A: Given ship travels: North 36degree East for 500 nautical miles

Q: The angle between the unit vectors a and b is 0. By expanding the scalar product, show that (3a –…

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Q: ff curl(x²yi - rzk). n do over the closed surface of the ellipsoid 4 16 Warning: Stokes' theorem…

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Q: The angle between the vectors A = 2j -3j +1k and B = 4i -3j +1k, in term of cos@ is !!

A: We use the definition of angle between two vectors to find the angle between the vectors A and B.

Q: (2 points) (z, 1) dA = 1 where D is the disk z + y? < 9. Now suppose E is the disk a? + y? < 36 and…

A: we have to use change of variable to find the integral

Q: What is the magnitude of the vector cos 0 i + sin 0j +1? 00 1 O√2 02

A: We have to find magnitude of the vector cos θ i + sin θ j + 1 k  (not only 1)

Q: Given these vectors find the sum of U+V (Question in the provided attached photo)

A: Given these vectors find the sum of u+v.    u=-4,-4 and v=1,8

Q: Given the points X(1, -2, 1) and Y(0, 3, -2), find a vector that is collinear with XY and has a…

A: Given: X(1, -2, 1) and Y(0, 3, -2).

Q: Which vector has the smaller magnitude: u = 3i - j - k or v = 2(i + j + k)?

A: Our Aim is to tell which vector given below has the smaller magnitude u⇀=3i-j-k and v⇀=2i+2j+2k.

Q: The following figure shows a single-stage gear train. Gear trains are used in many products, such as…

A: Given that ,  n1 = 43 n2= 10 w1= 2. w2 = ? We have ,  w2 = (n1/n2)(w1)

Q: If the position vector of a particle P is r(r) (3cos t,5sin7,4 cos t) a) Show that the speed of the…

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Q: Identify the surface with the given vector equation. r(0,0) = 2sinocosei +2sinosinej +2/1+sin?ok a.…

A: The minimum number of parameters needed to represent a surface is two. Therefore, in general, the…

Q: Give the unit vector in spherical coordinates that extends from M(5,1,2) to N(2,4,6).

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Q: In the diagram below, a and b are vectors such thay cos0 = 1/6. Given thay a= i +j+ pk and b= 2i…

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Q: 2) With respect to the origin 0, the position vectors of points A, B, Cand D are given by OA = 1 OB…

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Q: Which polygon is the result of reflecting polygon 1 through AB, then translating the reflected…

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Q: w, and z head to tail as needed to sketch the indicated vector. 3 w

A: NOTE: Refresh your page if you can't see any equations. . here the height of the triangle is x=4…

Q: Let A = -4i – 2j + 4k and B=6i – 3j. (a) Compute cos 0, where is the angle between A and B. (b) Find…

A: We have to find

Q: Q 39/ Refer to Fig. 39. The angle of static friction between the block with mass M and the plane is…

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Q: If v · w is negative, what does this say about the angle between v and w? Draw a 3-dimensional…

A: we have been given that v.w is negative which means v · w &lt; 0 which means the angle between v and…