Compute the orthogonal projection of 8 onto the line through 3 and the origin. The orthogonal projection is (Simplify vour answer 9.

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: Compute the orthogonal projection of 7 = proj,(v) = 4 [1] onto the line L through -4 and the origin.

A: Given:    Data is given

Q: Compute the orthogonal projection of v= 7 onto the line through 4 2 and the origin.

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Q: Find a vector a with representation given by the directed line segment AB. A(0, 4, 2), B(4, 4, –1)…

A: Given vectors

Q: Compute the orthogonal projection of u onto 7. Use the square root symbol 'V' where needed to give…

A: Orthogonal projection

Q: Compute the orthogonal projection of 7 = projz (7) = onto the line L through and the origin.

A: The given data is: v→=-69 To compute the orthogonal projection of v→=-69 onto the line L through -76…

Q: Compute the orthogonal  projection of v = [ -3, -3 ] onto the line L through [ 2, -2 ] and the…

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Q: Verify the orthogonality p

A: answer is in next step

Q: Find a vector a with representation given by the directed line segment E A(0, 3, 2), B(5,3, -5) Draw…

A: We need to find the equation from A(0, 3, 2) and B(5, 3, -5).

Q: The vectors a =(1; 4; 2021) and b = (2; -8; 199) are obviously non- %3D orthogonal because the dot…

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Q: Compute the orthogonal projection of i -5 onto the line L through -4 and the origin. proj, (5) =

A: Here we use for product to find he projection.

Q: Find a vector a with representation given by the directed line segment AB. A(-1, 5), B(2, 4) Draw AB…

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Q: The vectors a =(1; 4; 2021) and b = (2; -8; 199) are obviously non-orthogonal because the dot…

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Q: if vector AB=i+7j-4k and B is the point (9,3,5) find A

A: Let A=ai^+bj^+ck^B=di^+ej^+fk^ be twovectors.Then AB→=d-ai^+e-bj^+l-ck^

Q: 1 Compute the orthogonal projection of v = onto the line L through -6 and the origin. 2 projz (7) 2.

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Q: Find the image of the vector (1, 1, 1) for the rotation.120° about the x-axis

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Q: Let u = (a, b, c) and v = (8,9, 10). If u is parallel to (1,0, –1) and the projection of u along v…

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Q: Compute the orthogonal projection of = 3 onto the line L through -2 and the origin 2 proj, (v) =

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Q: Find the magnitude of the projection of (8, – 2) onto the vector (4, 7)

A: Wr have to find the magnitude of the projection.

Q: find the projection of u along v u = (2, 5), v = (1, 1)

A: u=2,5 and v=1,1

Q: 2. Use a directed line segment to represent the vector. (а) и %3D (2, —4) (b) v = (2,4, –4)

A: Given that the vector a u=2,-4  b v=2,4,-4Solution a u=2,-4u=22+-42u=20  =25b v=2,4,-4v=22+42+-42v=6

Q: Find the cross product a × b. a = (4, 5, 0), b = (1, 0, 7) Verify that it is orthogonal to both a…

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Q: Construct a geometric figure that illustrates why a line in R2not through the origin is not closed…

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Q: Let a = (- 2,1, – 5) and b (– 3, 5, – 4). Find the projection of b onto a. Write an exact answer,…

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Q: The distance dd of a point P to the line through points A and B is the length of the component of AP…

A: Given,           The distance d of a point P to the line through points A and B is the length of the…

Q: Find the projection of v

A: Here v→=2i^-2j^    and w→=-3i^+j^

Q: Compute the orthogonal projection of v = [-6   5   1 ]   Onto the line L through [ -2   6   -7] and…

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Q: 7. Give the terminal point of the position vector of ü= (3,4). Clearly show why %3D your answer is…

A: Concept: A vector is a directed line segment with an initial point and a terminal point. Vectors are…

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

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Q: Find the matrix of the reflection about the line L.

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Q: Find orthogonal projection of u=(-1, 2, 5) in the direction of v=(3, 1, -2).

A: find the orthogonal projection of u=-1,2,5 in the direction of vector v=3,1,2 it is known that…

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: Compute the orthogonal projection of v = 3 onto the line L through -2 and the origin. projr (7) =

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Q: Find a vector å with representation given by the directed line segment AB, for A(-1, 1) and B(3, 2).…

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Q: Show that direction vectors of the lines x-3y+ 1 L: and 2 -2 are orthogonal.

A: Direction vector of a line x-x1a=y-y1b=z-z1c   is   <a,b,c>  So, Write the direction vector of…

Q: Use a directed line segment to represent the vector.v = (−2, −5)

A: Let the given vector : Here, -2 represents x-cordinate and -5 represents y-cordinate.

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

A: We need to find orthogonal projection of u onto v.

Q: Consider the four vectors X1 = (0, 0, 0)', X2 = (1, 0, 0)", x3 = (1, 1, 0)", x4 = (1, 0, 1)'. %3D…

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Q: Show that direction vectors of the lines 2 - 2 and L: are orthogonal.

A: The given lines are x-32=y+14=z-2-1  and x-35=y+1-2=z-32. The direction vectors of the given lines…

Q: Compute the orthogonal projection of i = 1 onto the line L through 4 and the origin. projz (5) =

A: Vector projection

Q: When A is multiplied by a plane rotation Qij, which entries of A are changed? When QiJA is…

A:

Q: Given A = -3ax + 2ay + 7az and B = 2ax - 6ay + 5az , find the %3D %3D projection of A on B.

A: solution is 2.11

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

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Q: Find the component of u along v. 3(5,2), v = (3, -4)

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Q: 4. Describe in words the translation of X represented by a translation vector of .

A: Translation vector is a type of geometric transformation. A translation vector moves or translates a…

Q: Find orthogonal projection of v=(3, 1, -2) in the direction of u=(-1, 2, 5).

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Q: Let ä = (4, 3) and b = (- 3, k). Find k so that ä and & will be orthogonal (form a 90 degree angle).

A: Given,            a→=<4,3>            b→=<-3,k>We know that,          For orthogonal,…

Q: The distance d of a point P to the line through points A and B is the length of the component of AP…

A: Equation of the straight line through A-2,-3,-3 and B3,0,-5 is x+25=y+33=z+3-2

Q: Let ä = (– 3, – 2) and 5 = (1, k). Find k so that ä and b will be orthogonal (form a 90 degree…

A: Two vectors a→ and b→ are orthogonal if their dot product is zero, because both the vectors are…

Q: Let a = (– 3, 3, 0) and b = ( – 1, – 5, – 4). Find the projection of onto á. Write an exact answer,…

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