Ex:- Find the area of the triangle whose Vertices are P.(l,-!, o), Q(2,1, -1) and R(-1,1, 2)

Q: Two vectors of magnitude 8 units and 10 units respectively make 60° with each other as shown in…

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Q: Which are the Matrices of a vector?

A: When a matrix is having either one row or either one column then it is defined as vector.

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: 9. Find the points of intersection of the parabola (x – 2)² = 4(y + 1) and the circle (x – 2)? + (y…

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Q: The region bounded by the parabola x = y² and y = x2 revolved about the y-axis to generate a solid.…

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Q: If p(x, y, z) = 2xz¹-x²y, find Vop and Vol at the point (2, -2, 1).

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

A: Given data : Force=P Force=Q Resultant=R   To find : Correct formula

Q: (3,5) and the line 12x + 4y +3 = 0, find the perpendicular distance.

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Q: 2. Find the are length of the curve from x=2 to x-3

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Q: (Cosu)z Given

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Q: Find A' by using cofactor method if 1 0 3] A = -4 2 5 and |4 =-6. 0 0 %3D 1

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Q: Find the slope of the line 2x+3y=6 and then find the distance from this line to the point P(-2,1)

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Q: Suppose the point P(x, y) is on the unit circle. Find the missing coordinate: P(-1,__)

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Q: the curve OC is given by espect to the point O (0, 0)

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Q: 4) f(x) = x3 – 2x + 4 at a = 1

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Q: Given the points A( – 5, 6, – 4), B( – 2, — 10, 6), and C(4, 0, 5), find (a) the angle between AB →…

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Q: Find the distance of the line between (1,1)and (-5,-3)

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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: Find the areas of the parallelograms whose vertices are given in points A(1, 0), B(0, 1), C(-1, 0),…

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Q: Q3) for f(x) = sec²(2x – 1) and g(x) = tan?(2x - 1) show that %3D %3D f'(x) = g'(x).

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Q: The Line (L,) pass through point P,(4,2) with slope (-1/2), Fill in the following blanks: 1- The…

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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: 40. If A(1,7) and B(-2,3) are two consecutive vertices

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Q: 0 -i IS hermitian matrix show that A

A: A hermitian matrix is a matrix that is equal to its conjugate's transpose. So for matrix A to be…

Q: 4, Construct a projection sending l anto l itself using <3 perspec'tivities A, B,C ī By C,A

A: "Symmetrical projection" diverts here. For the specialized drawing idea, see Orthographic…

Q: The X coordinate of an Isosceles triangle of base b and height h is?

A: In an isosceles triangle the x coordinate is always the one third to its height and the y coordinate…

Q: Find R and a in the previous example by considering ACD triangle in the figure below.

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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: 38. Find the equation of the plane through Po(2,1,-1) perpendicular to the line of intersection of…

A: The most important point to note in this question is that, the line at the intersection of these two…

Q: G. The self Figure shows an isosceles right triangular thi energy of the sheet is U. What will be…

A: for case-1, from the given figure, the length of unkown side can be calculated by, L = a2+a2 = 2×a…

Q: Magnitude of Vectors in 3D Let a =(2, -4, 6). Find a.

A: Given, Vector a → = &lt; 2 , -4 , 6 &gt;   From the vector, x-component of vector = ax = 2…

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…

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Q: A line AB = 45 mm long is inclined to VP at 45 degree. Endpoints A & B are 40 mm above HP. Endpoint…

A: Length of line AB=45 mm(This is true length , TL)inclination to VP=45o

Q: 1. If A(-4,-6), B(3,–3), C(5,7), and D(x,y) are vertices of a parallelogram ABCDA, determine the…

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Q: 2/ Find the slope of the line 2x+3y=6 and then find the distance from this line to the point P(-2,1)

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Q: What is the resultant if the equilibrant is 10N , 30° N of E?

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

A: To find Interior angle at vertex B.

Q: ncurrent when their lines of action meet in .A one point .B two points .C three points .D four…

A: Force system 1. Coplanar and Non Coplanar 2. Concurrent and Non Concurrent. 3. Collinear and non…

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: Which of these represents the solution for x in 6" = 21?

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Q: Q1/3-The B Rep. Scheme for the box consists of: * O 8 faces, 8 edges & 12 vertices O 6 faces, 8…

A: B rep is often known as Boundary representation. This scheme is based on the concept that a physical…

Q: 3) From elementary geometry we know that there is a unique straight line through any two points in a…

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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: 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: Find an equation for the circle with the .center C(h, k) and radius a C(-2,-V3) , a = 2

A: Equation of circle is given below.

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.