Al calculate the angles made by the vector ( V= 15i - 36j) with the positive (x,y) axis , also write the unit vecor n in the direction of V.

Q: Find the area of the circle r = 2(sine + cose) by means of double integration.

A: The equation of circle is given as f(r) = 2(sin θ + cos θ) The area of a circle by the above…

Q: Q2: Determine its coordinate direction angles of the force as a Cartesian vector, as shown in the…

A: Solution:

Q: E=501-200j+150k}N| Fi={70j+100k}N

A: When multiple forces are acting on a body, then to analyze the body, we need to calculate the…

Q: For the following Figure: 1) Determine the magnitude of the vector V = V2- V1 ( 2) The angle which V…

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Q: What is the unit vector given that ey-0°, 0y=0°, and 0,-9C

A: Using cosine we can write Vector = cos θx i+cosθy j+ cos θz k

Q: Determine the angle between vector AB and vector AC.

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Q: Determine the unit vector of r.

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Q: theta - 33 degrees M1 - 450 Nm M2 - 550 Nm M3 - 650 Nm M3 "t Find the angle of the resultant moment…

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Q: 7. Given that ā•b = -6,||||= 4.3 and the angle between a and 5 is 0= determine if bis a unit vector…

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Q: Determine the x and y components of a vector whose magnitude is 37 m at a 25° angle from the x-axis.…

A: Given that →magnitude=37                    Angle from x axis θ=25°                   Let the…

Q: Plot the point that has the given polar coordinates. (2. ) A/2 A/2 da

A: To make it simpler, convert the polar coordinates in degrees.

Q: a the magnitude and direction of V where v1= 15 and v238. V1 V2 1500

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Q: FAB Find the Projected Force to direction AC in N. (Hint: Dot Product).

A: The unit vector of AB and AC is as follows: UAB=-2-0i^+0-3j^+1-0k^-2-02+0-32+1-02UAB=-2i^-3j^+1k^14…

Q: Find the adjacent vector of magnitude A = 35N at an angle of 35degrees. %3D

A: Given data:

Q: Determine the magnitude and the direction angles of a vector 11i + 3j – 6k. Magnitude is a = B = and…

A: Given that A=11i+3j-6k

Q: Determine the magnitude of the vector difference V = V₂ -2V₁ and the angle 0, which V' makes…

A: Given

Q: * Find the angle between two vectors Ġ= -î+ĵ+2k ‚, š= 2î+3ĵ-Ê

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Q: If direction angles are B = 96° and y = 37°, then get the unit vector. û = 0.593 + ? -0.105 V o j+…

A: Given: Direction anglesβ=96oγ=37o

Q: B. A Solve for the direction cosines and direction angles of vector A in above figure. COS a = cos B…

A: Given data: A→=3i+4j Need to determine the cosine angle angles of the vector A.

Q: In the figure shown below, m2 = 4 rad/s CCW (constant). Write the approproate vector equations, ve…

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Q: Express F = 10O N (shown in the figure below) as a Cartesian vector. %3D TOON 60°

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Q: Q1: The two vectors A and B in Fig. below have equal magnitudes of 10 m. Find the Result (R)…

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Q: Given the following points, what is x-component of a 200N force directed along a line connecting…

A: Given Data : Force(F)=200 N

Q: In the Figure 1, the relationships between vectors and internal angles can be represented as: Figure…

A: This can be explained using the sine rule.

Q: Evaluate tan( Arcsec √5 – Arccot 2 )

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Q: 1. Give the rectangular coordinates of the point C (p = 4.4, q = -115, z = 2). 2. Give the…

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Q: Find the adjacent vector of magnitude A = 355N at an angle of 33degrees.

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Q: Find the unit vector that points from point O toward point A.

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Q: Find the elbow forces on the x and y direction.

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Q: Determine the magnitude and the direction angles of a vector -3i + 4j - 7k m. Magnitude is m, a = B…

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Q: In the Figure 1, the relationships between vectors and internal angles can be represented as: *…

A: We know that In triangle using Sine Rule Ratio of Side and its opposite angle is constant.

Q: The vector product of vectors A vec and B vec has magnitude 16.0 m2and is in the +z-direction. If…

A: The product of vector A and B is A→×B→=16k^-8i^×B→=16k^B→=-2j^ The magnitude of the vector B is…

Q: Determine the magnitude and the direction angles of a vector 9i + 3j – 7k. Magnitude is and y of

A: Given data: - The vector is v = 9i + 3j - 7k. The coefficient of i is Fx = 9. The coefficient of j…

Q: Consider the following vector: • J - 17 @ 195° What is the magnitude of the y component of J?

A: Consider the diagram shown below for the given vector.

Q: *2-84. Determine the coordinate direction angles of F1 and FR-

A: To determine the direction angle of FR and  F1

Q: 1. Find the resultant and its direction from the x-axis (0,) 7 k 15 k 50 ° 10 k

A: Given:

Q: The angle made by the vector A=i + j with x- axis is * 90° 45°

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Q: В C FAB A Find the Projected Force to direction AC in N. (Hint: Dot Product).

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Q: Determine the magnitude and the direction angles of a vector – 5i + 3j – 6k. Magnitude is a = B =…

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Q: 1 d. The point A has coordinates (4, 1), AB = 9 5 BC Find the coordinates of B and the column vector…

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Q: ude of 460 N. Express F as a vector in te

A: given:F=460Nθ=370

Q: Calculate the 1st moment of area and 2nd moment of area for the shape below. The dimensions are…

A: First moment of inertia = Centroid X Area   Second moment of inertia is area resistance to bending…

Q: Find the : - Angle between Line AB and Line AC in degrees.  - Projected Force to direction AC in…

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Q: Express F = 100 N (shown in the %3D figure below) as a Cartesian vector. *

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Q: Determine the angles made by the vector V = -13i+22j with the positive x- and y-axes. Write the unit…

A: Given:V=-13i+22j

Q: Vector A has a magnitude of 6 units and it is in the direction of positive X-axis vector B has a…

A: To find: The cross product of A×B. Given: The magnitude of vector A is A⇀=6. Vector A lies in…

Q: The vector from the origin to point A is given as 6a, – 2a, – 4a,, and the unit vector directed from…

A: Concept Of Vector Used