Let v and u: and let W= Span fu,v} 3 What is the dimension of w+? Explain

Q: In the figure, a cube of edge length a = 7.00 m sits with one corner at the origin of an xyz…

A: A cube is basically a 3-D cube with the added dimension of height. It is the only regular…

Q: orthogonal

A: We have   u=111    and v=2-12 are two column matrices  . We have to find the value of  k so that…

Q: Use the fact that the volume of a tetrahedron with adjacent edges given 1 EJu. (v x w)| to determine…

A: The volume of tetrahedron can be calculated using scalar triple product of u,v,w.

Q: 2. Find the volume of the parallelepiped having a = (1,4,–7), b = (2,–1,4) and c = (0,-9,18) as…

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Q: FGHI is a rhombus. What is the measure of FGH?

A: i have solved 1st question for the remaninig question repost

Q: Prove Show that ABCD is a trapezoid. А(-1, 1), В(2, 3), С (3, 1), D(-3, -3) m q, 2 A -4 4. 3. 2.

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Q: Find the distance between u and v. u = (-1, 0, 0, 4), = (0, 0, 4, 4) V =

A: Distance between two vectors can be calculated by subtracting the vectors and taking the square root…

Q: Point P lies on line k. A dilation of line k is performed with center P and scale factor 5. Which…

A: Given: A dilation of k is performed with center P which lies on same line k and scale factor is 5.

Q: Plot the points 12, 02, 12, - 32, 12, 42, 12, 12, and 12, - 12. Describe the set of all points of…

A: Given points are, 2, 0, 2, -3, 2, 4, 2,1 and 2, -1

Q: Let = (0,- 2)v=(3,2) and w=(-2,1) Then the dot product u. (V w) is equal to

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given 1 by the vectors u, v and w…

A: Find your answer below

Q: Exercise 5. A simple contour that is not closed can cross itself. * O False O True

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v and w is…

A: Volume of a tetrahedron with adjacent edges given by the vectors u,v,w is given by, V= |u.(v×w)|/6

Q: Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v and w is…

A:

Q: Find the area of the parallelogram that has the given vectors u = j,   v = j + k as adjacent sides.…

A: Known facts: The area of the parallelogram that has the given vectors u  and v as adjacent sides is…

Q: 2. The x- and y-axes divide the coordinate plane into four regions called

A: Given: The x and y axes divide the coordinate plane into four regions

Q: Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v and w is…

A:

Q: point is OD. (Type an ordered triple.)

A: We are asked to find farthest point from sphere.

Q: Determine whether u and v are orthogonal, parallel, or neither. u = (2, 15) - (-) 3 v = O parallel O…

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Q: Find the intersection of the line r(t) = (1,0 t(4, 12, 2) and the plane x – z = b. (Give your answer…

A: Given equation of line and plane now we have to find the point of intersection of line and plane as…

Q: A triangle has vertices  (0, 0, 0), (1, 1, 1),  and  (0, −4, 5).  Find its area.

A: Consider the triangle with vertices (0, 0, 0), (1, 1, 1) and (0, -4, 5)Let  A(0, 0, 0), B(1, 1, 1)…

Q: Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v and w is…

A:

Q: State why (u, v) is not an inner product for u = (ui, u:) and v = (v, V2) in R? %3D (u, v) = (u,v;)²…

A: We are given that u,v=u1v12+u2v22 for u=u1,u2 and v=v1,v2 in R2. We know that an inner product must…

Q: fx and y are two n-vectors, then prove that 1 1 -+-=1 (Holder inequality) (b) xy, <,, (Schwarz…

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Q: Prove that the point (3,0) ,(4,5),(-1,4) and (-2,-1) taken in order,form a hombus ,also find its…

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v and w…

A:

Q: Find the projection of u along v. u =〈2, -3〉, v =〈1, 2〉

A: Given: u =〈2, -3〉, v =〈1, 2〉 To find the projection of u along v

Q: hat is the concave up and concave down?

A: In terms of the second derivative Concave Up, Concave Down, Points of Inflection,  The graph of y =…

Q: Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v and w is…

A: We will use the given formula of volume to find the volume of the tetrahedron.

Q: If ZYUK is a right angle, then UK 1 UY. Justification: Definition of a Perpendicular Symmetric…

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Q: The angle between (0, –6, 2) and (4, 8, 7) is: O A. orthogonal - O B. acute.

A: We will use geometric definition to determine the angle.

Q: д(х, у) Find the Jacobian of the Ə(u, v)

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Q: Converse of the Same-Side Interior Angles Postulate.

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Q: Find the perimeter of rectangle WXYZ with coordinates W(3,7), X (3,-1), Y(6,-1), and Z(6,7).

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v and w is…

A:

Q: If ZYUK is a right angle, then UK 1UY. Justification: Definition of a Perpendicular Symmetric…

A: A line is said to be perpendicular to another line if two lines intersect at right angle.

Q: Compute the orthogonal projection of u'onto v. Use the square root symbol 'v' where needed to give…

A: Given vectors are u→=−64−6 and v→=−23−2. We have to find the projv→u→. We know that…

Q: Farmula for area of triangle with vertices at (0,0) ,(a1,a2)  and (b1,b2)

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Q: If vectors u and v are represented by arrows, describe how the vector sum u + v is represented.

A: Given that: The vector u and v are representing by arrows, So,

Q: Find three numbers a1, a2, az to normalize the orthogonal set 1 in R³. aj = a2 = az =

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Q: Evaluate ſc zsin(2²) dz where C is the union of the lower-half of the unit circe in clockwise…

A: The complete solutions are given below

Q: Show that the order in which the points (x,,y,) and (x,,y,) are labeled does a affect the value of…

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v and w is…

A:

Q: Find three numbers a1, a2, az to normalize the orthogonal set 1 -2 a1 , a2 , аз 1 in R3. , az = = Ip

A: Here, a1 , a2 and a3 are unit vectors . w1 = (1,-1,3)  w2 = (-2,1,1)  w3 = (4,7,1)

Q: Use the fact that the volume of a tetrahedron with adjacent edges given Edit 1 by the vectors u, v…

A:

Q: State Inner Product?

A: To state the definition of Inner product.

Q: We want to count step-by-step paths between points of the form (x, y) in coordinates Only two kinds…

A: The number of paths from (0, 0) to (10, 10) that go through (5, 5) is  - - - - -

Q: Find the distance between u and v.u = (−1, 2, 5), v = (3, 0, −1)

A: to find the distance between u and v where u = (−1, 2, 5), v = (3, 0, −1) we use the Euclidean…

Q: 3. Explain why if u and v are perpendicular, u x v= uv.

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v and w is…

A: To find the volume of the given tetrahedron with given verticesP =-2, 3, 0Q =(2, 1, -3)R = (1, 0,…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.