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Q: A force of 3.6 N makes an angle of 40° (counter-clockwise) with the +X axis. The Y component of the…

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Q: [7] The polar coordinates of a point are r 5.5m and 0 240°. What are the cartisian coordinates of…

A: We are authorized to answer one Question at a time, since you have not mentioned which question you…

Q: Vector A has a magnitude of 36 units and points in the positive y direction. When vector B is added…

A: The resultant vector is given by,

Q: Place a vector so that |R|: 20, e: 36.9°, R,: 16, and R,: 12. Mathematically show how you can use…

A: Given,  Rx=16Ry=12 Thus, R=162+122=400=20 Thus, R is the resultant of the the two vector .

Q: Show that if f(x) = Ac* where A and k are real constants, then f(x) satisfies: %3D d² f(x) + k° f(x)…

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Q: Q3: A: Determine the Miller Indices and planes of the following: 1/2 2/a 1/3 1/2

A: This question can easily be solved by applying the basic concept of Miller Indices

Q: Find the angle 0 given that x = 46 Newtons, y = 114 Newtons, and o = 76 degrees. Note that the…

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Q: A = (3, 5, -7) B = (2, 7, 1). Find A + B. A- B, A, B, A B, and the cosine of the angle between A

A: A→=3i^+5j^-7k^B→=2i^+7j^+1k^ A→+B→=3i^+5j^-7k^+2i^+7j^+1k^=5i^+12j^-6k^

Q: Refer to the figure, determine the angle 0AB.

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Q: D2L is limited to a single answer per question so there is no way to enter both roots.…

A: The given quadratic equation -9.1x2+2.5x+4.2=0 The above equation is in the form of ax2+bx+c=0 On…

Q: For the figure shown, calculate the x-component of the centroid (x). (0,6) y=6-x (4,2) (0,0) (4,0)

A: take an element of thickness dx at a distance x from origin  Now, mass of element (dm)= kydx =…

Q: The edges OP.0Q and OR of a tetrahedron OPQR are vectors p, q and r, respectively, where p = 21 +…

A: To solve this, we first find the vectors of OP, OQ and OR. Two vectors are perpendicular if the dot…

Q: If AxB = 3 A.B, then the angle between the vectors A and B is: o 84.3 071.6 63.4° 076.0

A: Given : |A→×B→| = 3A→.B→       .....(1)To find :Angle between the vectors A→ and B→

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

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Q: (-2/3,2) 2) (7,-7) 1)

A: To find the polar coordinate for these: Using, x=rcosθy=rsinθr=x2+y2Where,x,y are cartesian…

Q: Find the point at which the line meets the plane. x = 1+ 6t, y = - 2+ 2t, z= - 2+ 5t; x+ y+z= - 3…

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Q: 2)Find the angle between ( Ä – ) and À , for A = 41 + j+ 2k and B= 2i +3j+k.

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Q: 45° 45°

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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: Write the following x2+y2=16 in polar form.

A: The given expression can be written as below,

Q: Find the angle between vectors ? = i + 2ĵ+ 3? and ? = 4î+ 5ĵ+ 6?

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Q: 4. (20%, ABET-e). Determine the coordinates of the centroid of the area by direct integration.…

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Q: A force of 5.4 N makes an angle of 36° (counter- clockwise) with the +X axis. The Y component of the…

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Q: 19. In the diagram the correctly marked angles are а. Li and zr b. zrand Le Li and Le Zi, zr and ze…

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Q: in plane polar 3. The point (1,1) in rectangular coordinates is equivalent to coordinates.…

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Q: Find the angle between the vectors A = 2i + 6j + 3k and B = 12i – 4j + 3k. Hint: a .b = ab cose %3D

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Q: In polar co-rodinate the angle q is usually measured counterclockwise from. positive y axis negative…

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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: Find the angle between these given vectors: u3D{7.19] v- (12,-5]

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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: 19. In the diagram the correctly marked angles are Zi and zr Zrand ze a. b. Li and 2 e Zi, zr and 2…

A: Given, Angle i,r, and e in the diagram As we know that all angles measured from the normal line. so,…

Q: Determine the x-coordinate of the centroid of the shaded area by integration. y 14 19 --x 19 Answer:…

A: Solution:-

Q: Q(2) Consider the two vectors A= 31 – 2j and B = 2i – 3j. Calculate the angle between the two…

A: Given the two vectors  A= 3i - 2j and B = 2i - 3j. We have to find out the angle between the two…

Q: Find the angle between vectors A = 3i – 2j and B = 4j – 4i using the definition of dot product. %3D…

A: Given data The equation of vector A is given as A→=3i^-2j^  . The equation of vector B is given as…

Q: 1+y 3 A 24 +x. 10 8. 5

A: Given, F1 = 61.0 N at, θ = 17.0° North of eastF2 = 38.0 N at, φ = 64.0° North of eastF3 = 54.0 N at,…

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: .Calculate the area of the parallelogram whose two adjacent sides are formed by the vectors. A = 3i…

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Q: If A : (B x Č) = 0 then: Select one: O a. Ā is parallel to either B or C O b. Ä is perpendicular to…

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Q: Find the angle between these given vectors: u-{2,-3,5) v- (6,5,-3] %3D

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Q: Q4: 1) Find the value of x that makes a perpendicular with b if a =i+j+ 3k., b= 2i + 7j – x k 2)…

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Q: 4 m 3 m 2 m В F = {4i + 12j – 3k} kN

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Q: The distance of the plane 2x – 2y – z = 27 from the origin is A 9 B 3 C 27 D 6

A: The distance between any point x1,y1,z1 and a plane with the equation ax+by+cz+d=0 is given…

Q: Determine the x- and y-coordinates of the centroid of the shaded area. Assume a = 2.2b, c = 1.9b, d…

A: Draw the given diagram.

Q: Direction cosines are also known as D (cos 0, ) i + (cos 0, ) j + (cos 0,) k O F, =| F | cos 0 O cos…

A: Diarection cosine Diarection cosine is the angle between the vector and the three positive…