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Q: u= , v=  , w= t is a real number find t so that u,v and w are coplanar

A: Since u, v and w are coplanar, so their scalar triple product is zero, that is  w.[uxv]=0 u x v:…

Q: A set W is defined as consisting of all the planes in R^3 that are parallel to the plane x+2y-3z=1.…

A: A set W is defined as consisting of all the planes in R3 that are parallel to the plane x+2y-3z=1.…

Q: Each point of the parallelogram is translated up 3 units and left 2 units and then connected to form…

A: After shifting parallelogram 3 units up and 2 units left the new parallelogram will be

Q: f) Every continuous map T² RP2 is homotopic to the constant map.

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Q: Show that D^2 = {(x, y) ∈ E^2: x^2+y^2 ≤ 1} ⊂ E^2 and the space containing a single point are…

A: In algebraic topology, two topological spaces are said to be homotopy equivalent if there exists a…

Q: ) Every continuous map RP2 → S² is homotopic to the constant map.

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Q: Shoe that Hhe p qiuen by norm on (on ho f be given by a scalar prodluct

A: We need to show that the norm on l∞ given by: x1,x2,…,xn,…∞=supxj: j=1,2,3,… can not be given by a…

Q: O Differniate the function after a di fferewt form first rewirming the functio^ * Dont use Product…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 2. Show that z^2 is one-to-one in a domain D if and only if D is contained in a half-plane whose…

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Q: -}]-=[}]»=[}- [] 3 Find Let vị = and p = 3 a hyperplane [f: d] (in this case, a line) that strictly…

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Q: 5. Quadrilateral MATH has coordinates M(-3,-1), A(6,2), T(5,5) and H(-4, 2). Prove that…

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Q: you know that a sphere has the equation of  x^2 + y^2 +z^2 -6x +4z =3 are the following points…

A: The equation of sphere is:-Now add 9 and 4 both side:-

Q: Let   uequals=22iminus−j​, vequals=33iplus+j​, wequals=iplus+33j   Find the specified scalar.…

A: The objective of the question is to find the scalar product of vector u and the sum of vectors v and…

Q: Consider the infinite geometry R^2, where points are (x, y) ∈R and lines are ax + by + c = 0 with a,…

A: We have to show that R^2 is an Affine plane.

Q: (йх'ў):(wx2)

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Q: Let   uequals=22iminus−j​, vequals=33iplus+j​, wequals=iplus+33j   Find the specified scalar.…

A: The objective of the question is to find the scalar product of vector u and the sum of vectors v and…

Q: What is the translation from quadrilateral EFGH to quadrilateral E F'GH'? E -6 15 14 -3 -2 -1 4 F G'…

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Q: Let   uequals=22iminus−j​, vequals=44iplus+j​, wequals=iplus+22j   Find the specified scalar.…

A: The objective of the question is to find the scalar product of the vectors (4u) and v.

Q: 2+9z X =,26+,A

A: Draw the quadratic surface y2+9z2=x using traces. Solution: The traces of the surface y2+9z2=x is…