Sketch the following 3D vectors  A = 3î + 5ĵ – 4k and B = 6î – 7ĵ – 5k

Q: Given two vectors A = 3i -4j +k and B = 5i +2 j -6 k. Find the z-component of the new vector Ax B.…

A: Step1  ∙Two vectors are given  ∙A→=3i∧-4j∧+K∧  and another vector B→=5i∧+2j∧-6K∧  ∙we need to find…

Q: A = (2, -4) and B = (-3,3). Determine the distance between points A and B and find their polar…

A: Two points given in the xy plane  A = (2, -4) and B = (-3,3)   Find: Distance between the A and B…

Q: Given the matrix 3. 4 6 -7 Find the Characteristic Equation and find its solutions (aka:…

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Q: Find the Miller Indices of a plane whose intercepts are (2,1,3).

A: Given intercepts are (p,q,r)= (2,1,3) The Miller indices of a plane is    h,k,l=1p,1q,1r…

Q: A plane intersects the a1,a2 and a3 axes at .5 -3, 0,and 2, its Miller indices are (а. (-3 02 О (b.…

A: Steps to calculate the Miller indices: Determine the intercepts of the face along the…

Q: Find the gradient of o 5x°y + 2yʻz³ – 3x yz at the point (1, –1, 2) %3D

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Q: Given two vectors A and B. Find the angle between them if A = { 2 , 3, 4} and B = { -2 ,2 -4, }

A: To solve the given question, we will write down the given two vectors in vector form and then we…

Q: Given three vectors A = -78 +93 – 4k,B = -6î + 33 + 12k and C = 152 – 47 + 7k which of the following…

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Q: Suppose thatP = (x, y) has polar coordinates(r, θ ). Find the polarcoordinates for the points:  (−x,…

A: Given: The point P is (x,y). The polar coordinates are (r,θ). The coordinates of the point are…

Q: Given the following matrix 3 3 1 5 Find its two eigenvectors. (A 3 and H2 0. B 3 and A, !! R -3 and…

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Q: Show that the force vector B = 2î – 4ĵ + k is orthogonal to the force vector ở = 3î + 43 + 10k. [2]

A: There are Two vectors -

Q: Consider the vectors A = (-8.1,5.4) and B = (10.7,-9.1), such that A - B +2.7C = 0. %3D

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Q: Evaluate the surface integral /| (2xzdydz + ydzdx + z?dxdy) where S is a closed surface, given by S:…

A: Given:I = ∯S 2 xz dy dz + y x dx dz+…

Q: 45° 45°

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Q: The spherical coordinates of a point (x, y, z) are unique. O True O False

A: True, the spherical coordinates are unique

Q: Find the cosine of the angle between vector R= 4.3î + 2.1ĵ+7.3k and the positive direction of…

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Q: Let A=5i-6.5 and B=3.5i-7ĵ . If lies in the xy-plane, Cis perpendicular to À , and Č-B=15 , what is…

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Q: GIVEN:               A = 3.0i + 4.0j + 2.0k                             B = 5.0i + 2.0j…

A: Given: A = 3.0i + 4.0j + 2.0k B = 5.0i + 2.0j  C = 2.0i + 3.0j

Q: 5/11 Determine the coordinates of the centroid of the shaded area. Ans. i 1.443, j = 0.361k %3D y xy…

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Q: Consider two vectors å = (5.0)î – (4.0)ĵ + (2.0)k and b = (-2.0)î + (2.0)ĵ + (5.0)k. Find %3D…

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Q: Let a = and b = . %3D (a) Find the scalar projection of b onto a. (b) Find the vector projection of…

A: A=(-2,2,1)  ,  B=(-5,-4,3)then,a→=-2L^+2j^+k^…

Q: A point is located in a polar coordinate system by the coordinates r= 5.8 m and 0 = 28°. Find the x-…

A: Given data: Polar coordinate of point r = 5.8 m and θ = 28° Required: The x and y-component of the…

Q: i have the cartesian coordinates x=4, y=3, and z=4. I'm trying to figure out thespherical…

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Q: Consider two vectors A = -9.88 i + 1.47 k and B = 2.4 j+ 0.49 k. Find the %3D angle o between these…

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Q: Match the vector to its description.  The vectors are given by their components in 3D space, that is…

A: According to question we need to Match the vector to its description.

Q: On a plane flat surface with "up" given as  +y and  "right" given as +x, we add two vectors.  One of…

A: According to question we need to find magnitude and direction of second vector?

Q: nates of point N. 2) Write the vector KM in terms o

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Q: Let A = 2ax + 5ay + az, b=ax +3az, and C= 4ax-6ay+10az (a). Determine A-B+C (b). A • (B x C) (c).…

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Q: Find an equation for the plane through the points (-6, 8, –1) and (-1,3,–8) and perpendicular to the…

A: The equation of the perpendicular plane is-4x-3y+8z=0Equation of a plane is given…

Q: P-1 Show the given set of function is orthogonal and find the Norm of the function in given set {cos…

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Q: If F = (2x2 - 3:) î – 2xy j - 4xk, then evaluate , V F dV, where V is bounded by 1. x = 0, y = 0, z…

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Q: Given these vectors: A = (-7.3)î + (3)3+ (5.4)k B = (6.6)î + (3.5)j + (6.1)k č = (-1,7)î + (2.8)ĵ +…

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Q: Find    the    cross   product →A × →C for  (a) A   = 2.0 ^i − 4.0 ^j + ^k and C   = 3.0 ^i + 4.0…

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Q: 6. Given vectors A = 2âz + 4ây + 10â, and B = –5âp + âs – 3âz, find %3D (a) Ã+ B at P(0, -2,5) ,…

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Q: Find each of the following in rectangular (a + bi) form if z = 2 – 3i; if z = x + iy. 22.

A: Given that  and we have to solve for

Q: Calculate the divergences of cach of the following vectors: (a) v = 3k (b) ở = r (c) v = (4xz + y²)…

A: Since you have posted multiple questions, according to company policy we will answer only the 1st…

Q: If you project a tennis ball at speed v0 on a horizontal surface, what must the angle of the…

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Q: Find each of the following in rectangular (a + bi) form if z = 2 – 3i; if z = x + iy. 21. z +1

A: z = 2 - 3 i

Q: Find the real component if the complex number a + bi is raised to m if a = 7.4, b = 4, and m = 5.

A: Complex number form= a+biGivena=7b=4m=5

Q: Find the distance between points P and P2. Р, %3D (-4, 4, 8), Р, %3D (5, 8, 0) : Рi %3D (7, 8, 9),…

A: The solution can be given as follows :-