Find the cross products u x v and vxu for the the vectors u

Q: 2) A function is given by f(x, y) = xy - x-4y+4. If Duf(0,0) = 1, find the unit vector directions…

A: According to question,Given function,fx, y = xy - x -4y +4,Du f0, 0 = 1

Q: Q1, Find Paametric equations for the line through the Point (0,1, 2) that is U =i 12}+ 3k and ū= 3i…

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Q: 1or Find. Ewo unit Vectors in X-y plane 30 deyree with the vectur that make angle cf V= 3i +4j ?

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Q: Q1/ If f(x,y)=find a unit vector u for which Duf (2,3) = 0 x+y

A: We have to find a unit vector u for which Duf(2,3)=0 where f(x,y)=yx+y

Q: Let 0 be the angle between the vectors u = 2i + 3j - 6k and v = 2i + 3j + 6k a. Use the dot product…

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Q: 2 3 Let A = L and U -2 Find scalars s and t so that LU = A.

A: First, find the value of LU. LU=20t-2130s=2· 1+0· 02· 3+0· st· 1+-2· 0t· 3+-2s=26t3t-2s

Q: 4. Describe in words the translation of X represented by a translation vector of . A. I unit to the…

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Q: Z4 Using the vectors u = (-1,0,1) and ū = (0, 1,0) solve the following problems А. 5й - 41 3 d(5ü,…

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Q: The value of the chiral vector of SWNTs if the n=8 , m=6 and the first vector length equal n/2+1 and…

A: Given that m=6,n=8to find the chiral vector of SWNT.  As we know that, the chiral vector c can be…

Q: Hiwil show that_Viz 3i+6j_and_V=-i-zj have offosite direction.

A: We have to prove that vectors have opposite direction.

Q: 2. Suppose the elevation of a hilly contryside is given by the function E(z,y) = sin z + cos y. %3D…

A: The solution of given problem is followed by

Q: 1) Find the MAGNITUDE and DIRECTION of the RESULTANT of ALL the forces at point A +Y -120lb APPLIED…

A: The resultant of vectors at a point is defined as the net effect of the forces acting at the given…

Q: 3) Find the components of the vector i that has a magnitude of |0| = 9750N and direction 0 = 243.0°-…

A: Find the components of vector v. |V| = 9750 θ= 243.0o

Q: 4. Find a unit vector in the same direction as the vector 8i- j+ 4k.

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Q: 3. The line through the point (2, 2.4, 3.5) and parallel to the vector 3i+ j – k Answer + (2i+ 2.4j…

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Q: 10. Find r'(1) given the following vector function. 2 3t j+ A) rf)=--i-9² j+ r'(t) : 4 -i-9t? B)…

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Q: 9) Find the vectors angle between the twe

A: Given: 3,-1,-2,23 The angle between two vectors is obtained by the formula θ=cos-1u·vuv.

Q: ).1: Express the vector 2i + 3j – k in the primed triad i'j'k' in which the x'y' – axes are otated…

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Q: 4 3 Let U 4 and V = - 5 - 3 -2. Find the angle between the vectors (in radians).

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Q: A laser’s beam shines along the ray given by r1(t) = (1, 2, 4) +t(2, 1, −1) for t ≥ 0. A second…

A: Given :         r1(t) = (1, 2, 4) + t(2, 1, -1) for t ≥ 0        r2(s) = (6, 3, -1) + s(-5, 2, c)…

Q: Find the cosine of the angle between the vectors with respect to the standard inner product on P2.…

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Q: )ca) if vector as 6=2ナリーk Calculate axb and bxa. (b) Find The area of the paralletogrmais bounded by…

A: Area of parallelogram of the vectors a and b is a×b.

Q: 5. Find the angle between the vectors (approximate to the nearest degree): u = [0, 1,1] and v = [1,…

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Q: Two vectors ū te ū are separated by an angle of Tl4. If läl=4 and lvl 5, then what is làxì]?

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Q: • We have 2x 2y Vf(x, y, z) = i+ +1)j+6k. x² + y²- 1 x² + y? – 1 | Thus Vf(1,1,0) = 27 + 37 + 6K.

A: We have to show the steps for the above equation.

Q: 6. For the vectors i and i given in problem 1, verify using the dot product that your answer for…

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Q: 2 Let u = = 1 (i) Find the angle between u and v. (ii) Find a vector w of length 2 in the direction…

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Q: Write down the Lagrangian of the system using the polar coordinates (with O as origin) of the two…

A: Note: As per bartleby instruction when more then one question is given only one has to be answered.…

Q: Let θ be the angle between the vectors u = 2i + 3j−6k and v = 2i + 3j +6k. (a) Use the dot product…

A: For two vectors u→, v→ in 3-space we have that:                     u→·v→=u→ v→cos θ⇒cos θ=u→·v→u→…

Q: 2/3: The slope of the 4.8-kN force F is specified as shown in the figure. Identify the scalar…

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Q: 2.10 Express the following vectors in rectangular coordinates: 2z az (a) A = p sin o a, + p cos o as…

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Q: 1 Consider the line through the vector a = Find the project of b = (1,2,3) onto this line.

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Q: Show that the vectors a = 3i+ 4j and b = 4i - 3j are perpendicular. A smooth sphere A of mass 2m…

A: Consider the given: a→=3i^+4j^b→=4i^-3j^ mass M of sphere A=2m velocity of sphere A of mass…

Q: 3. Find two unit vectors that are orthogonal to both j +2k and į -2j + 3k.

A: Solution is here

Q: Find the equation for the plane through the point Po= (9,2.5) and normal to the vector n= 31 + 10j +…

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Q: 1) a) Let u= and v=, where c is an undetermined scalar. What value should c have if u is to be…

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Q: (b) Two out-of-phase alternating voltages are represented by: V = 3.4sin (wt +=) and V, 1.3cos (wt…

A: The given problem is to find the sum of given vectors in the form of A sin(wt+ ϕ),we have to general…

Q: Find the binormal vector for 7(t) = (3t, sint, cos t) А. ВО cost, sint V10 10 1 B(e) = (- 3 В. ВО)…

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Q: Find the component of u along v. 3(5,2), v = (3, -4)

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Q: 9. Find two unit vectors that are perpendicular to both j + 2k and i – 2j + 3k.

A: A vector perpendicular to both of the given vectors can be found out by finding the cross product of…

Q: 2. Given the space curve .N(77). ² B r(t) = (2 cos 2t, 2 sin 21, 31), find the unit vectors, 4

A: Consider the space curve, r→t=2cos2t , 2sin2t, 3t  To find the unit vectors T→π4 , N→π4 , B→π4 Here…

Q: 1. a. If 37-2ỷ = ở and 5x - 33 = b, express the vectors and y in terms of a and b. %3D %3D

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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: Suppose R3 has the Euclidean inner product. Apply the Cauchy Schwarz inequality to the vectors = (a,…

A: We have to proof the inequality using cauchy schwartz  inequality

Q: Using a convenient scale, find the resultant of the following vectors graphically: 10m at 40o with…

A: According to Polygon Law of forces, if a number of coplanar forces acing at a point is represented…

Q: erilen 0 1 ve 1 vektörleri hangi ceR için lineer bi given in R^3 vectors, for which c eR lineer…

A: We will find out the required value.

Q: 9. Find the normal unit vector n to the surface 62 + 2y²+ 2² = 225 at the point P: (5,5, 5).

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Q: Find The vector novmal to The vecton A=2i-3; Ans/ N= 3i+2j Note The normal vector to The vecton A=…

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Q: Find scalars s and t so that LU = A.

A: Given: A=2611, L=20t-2 and U=130s. To find scalars s and t so that LU=A. Solution: Finding LU.…