Q1: Consider the points A, B, C, D where coordinates are respectively (1,1,0), (-1,1,0), 0,-1,1). Find the direction cosines of AC and BD and calculate the angle between them.

Q: Given the equation of the circle x + y? - 2x - 4y+1 = 0, find the centre of this circle. A. (-1,2)…

A: Given Data- The equation of the circle isx2+y2-2x-4y+1=0.

Q: Answer the following question: 2. What is the difference between a scalar and a vector with what is…

A: Given data: What is the difference between a scalar and a vector?

Q: Q4/ Determine the magnitude of the vector V and the angle e which vector V makes with positive…

A: Given data: V1=18 units V2=14 units Need to determine the magnitude and direction of the resultant.

Q: The magnitude of a given vector with end points (4, – 4, 0) and (- 2, – 2, 0) must be * 7.07 4 6.32…

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Q: y = 1 +4cos²x -3 -2 -1 3 4 C 5 6 1 x y = -sin x

A:

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: unite vector is vector that has magnitude more than one and points in a particular direction O true…

A: The given statement is false.

Q: . AISWer the folloWing problems below: A. Find the first moment of the line segment shown about the…

A: As per honor code and answering guidelines I can answer 1st question at a time.If you want other…

Q: A point is on the x-axis. It's y- coordinate * and z-coordinate are respectively z,0 O 0,0 O y,0 O y…

A: Consider the following point on the x axis as shown in the figure below.

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: The way that we can draw a circle -3 (R=10) is .. R5

A: the way that we can draw a cricle -3 (R =10) is tan tan radius, i.e use of tangent command.

Q: So 180 200 30 Find F and location 200

A:

Q: Fill in the blanks in the following: 1. If ā= (3,-2, 6) and b = (4, −1, −6) the axb = ………………….…

A: Vectors are given, Find,

Q: Find the points on the curvey=2³ - 3x² - 12x + 20 where the tangent is parallel to the x-axis.

A: Write the equation of the curve. y=2x3-3x2-12x+20 Since the derivative of the curve gives the slope…

Q: IF y = u² + 3u² & u = 2x Find dy dx

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Q: 1nc а с Th ov roc Find: Su

A: Given data Force = 100 lb Moment = 200 lb-ft

Q: The three points A (0, 2, 2), B (1, 4, 1), and C (3, 0, 0) define a plane. The coordinates are in…

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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: Find the magnitude of A, if A = { 2 , 3, 4}

A: Given Data⇒ A = { 2 , 3, 4}

Q: BY y А Solve for the direction cosines and direction angles of vector A in above figure.

A:

Q: Find the shortest distance from point B to line AC

A: Position vector for OB is OB=7j-3k Position vector for OC is OC=7j+5k Position vector for OA is…

Q: Q2. Draw the following directions: [100], [110], and [111].

A:

Q: HomewoTK: 1. Find the line L passes through the point (1,2) and parallel the line L: X +2y = 3.

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Q: Find the angle between lines AB and AC where the point A(3, 2, 3), the point B( – 4, 6, 6), and the…

A: Write down the coordinates of point A, B and C.

Q: V 3 (x+2y+2)î +(4 - y)} is %3D

A: Given;   The 2-D flow with , velocity    V→=x+2y+2 i^+(4-y) j^

Q: The magnitude of the coordinate di

A: Given

Q: Find the area of the triangle whose vertices are A(0,0,0) ; B(1,1,1) and C(0,2,3).

A: The sides of the triangles can be determined as…

Q: E 30 60° B 30° F 30

A: Given: The structure is shown below:

Q: 38. If the point P(x, 1) is equidistant from the points A(2,3) and B(-3, –4), what is the value of…

A:

Q: If Vx = 7.80 units and Vy = -8.20 units, determine the magnitude of V→.   Determine the direction…

A: Vx=7.80 Vy = –8.20  Find the magnitude and direction.

Q: The picture shows

A: The picture shows Answer: multi-disk clutch

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

A:

Q: C(-3,-3). What is the interior angle at vertex

A: To find Interior angle at vertex B.

Q: Find the angle between the planes x + y = 1 and 2x + y -2z = 2

A: Write the expression to determine the normal vector of both the planes. Substitute the value of…

Q: P2-8. set up the dot product to find the angle 0. Do not calculate the result. m 2 m -2 m 2 m 1.5 m…

A: Given Data: The coordinate of point A is (-2,2,1) The coordinate of point B is (1.5,0,-2). The OA…

Q: Consider the points A, B, C, D where coordinates are respectively(1,-1, 0), (0, -1, 1), (0, 1, -1)…

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Q: Ex@ (x- 3x+3) 2 Fen) find f'ex %3D when X= 2

A: Given Equations  f(x) = (x3-3x2+3)3/2 Now calculating the f'(x)…

Q: Draw the three planes of the geometric diagram

A: According to the details provided in the question, we need to calculate the orthographic view

Q: The line segment joining A(4, 1) and B(-2,5) is extended to point C through B. Find the coordinates…

A: Given points are  A(4,1)  B(-2,5) The line AB is extended through B so that B becomes the midpoint…

Q: Find the plane through the points :(2, 4,5),B(1,5,7)and c(-1,6,8)?

A: The given points are:

Q: 10. If the point P(x, 1) is equidistant from the points A(2,3) and B(-3,–4), what is the value of x?…

A:

Q: Given points A(x = 2, y = 3, z = −1) and B(ρ = 4, ∅ = −50°, z = 2), Find the distance from: (a)…

A: (a) Distance from A to origin is 14. (a) Distance from B to origin is 20. (a) Distance from A to B…

Q: 5) * If y= (x-1)v2x-x +Arcsin(x–1), find y'. /2x-x² None of the above O Option 2 y = Arcsin(x-1) y'…

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Q: Find N,V, M at D 3m

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Q: * .respect to point O. 2) with respect to point A

A:

Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

A: Answer:  y = 4x -2 For a step-by-step solution have a look through the attached pictures of the…

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: s given 2 vector A and B of non zero magnitude, what is the angle between them if A.B as value -AB/2

A: Given data as per questionA.B=−AB2we know thatA.B=|A|.|B|cosθ |A|=A|B|=BA.B=−AB2cosθ=A.B|A||B|

Q: 2–49. Determine the coordinate direction angles of F1. F = 300 N 60° 120 45° 60°- х F2 = 500 N

A: Let us write the force F1 in cartesian vector form. F1=F1-cos60°sin45°i+cos60°cos45°j+sin60°k…

Q: H.W: Find the angle between the planes x+y 1 and 2x + y -2z =2

A:

Center of Gravity and Centroid

The term center of gravity indicates the position or location of a point about which the whole weight of a body or system is supposed to be concentrated, which means the whole weight of the body or system works through this point. It is closely related to mass distribution. For all positions of the body, the center of gravity would be a single point.