Find the scalar and vector projections of b onto a. a = ⟨-3,4⟩, b = ⟨7,9⟩ scalar projection of b onto a = vector projection of b onto a =

Q: Let a = (-10, –10, 10) and b = (8, –4, –4) be vectors. (A) Find the scalar projection of b onto a.…

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Q: Find the projection of vector ū = -i+ 5j + 3k onto the vector i = -i +j- 3k? %3D

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Q: Find the scalar and vector projections of b onto a. a=, b=

A: Given: a=<-5, 12> b=<4, 6>

Q: The orthogonal projection of the vector u=(-1,-2) on a=(-2,3) is 8 12 а) 13 13 13 b) 8 13 12 4 c) 13…

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Q: Find the scalar and vector projections of b onto a. a = (-3, -6, 2), b= (3, 2, 1) -꼭 19 compab = 7…

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Q: Let a = (5, 3, 8) and b = (-3, –2,–7) be vectors. (A) Find the scalar projection of b onto a. Scalar…

A: Given data is: a=5,3,8 and b=-3,-2,-7

Q: What is the scalar projection of á = (1,0, 1) onto b = (0, 3, 4)?

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Q: Determine all vectors v that are orthogonal to u.u = (2, −1, 1, 2)

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Q: Find the vector projection of b onto a when b = (4, 3), a = (2, –1). 7 (2. –1) 1. vector proj. - 7…

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Q: The scalar projection of vector A onto another vector B will be the negative of that scalar…

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Q: Find the vector v whose initial and terminal points are given below. (5.4, 2.4), (0.4, –2.6)

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Q: Find the scalar and vector projections of b onto a. a = (1, 5), b = (-6, 1) comp,b proj b

A: a = 1i + 5j  b =  -6i + 1j

Q: Write expressions for the scalar and vector projections of vector b onto vector a Illustrate with…

A: we will find the scalar and vector projection of vector b onto a.

Q: Find an orthogonal basis for A1, A2, A3 (i.e., find 3 mutually perpendicular vectors u1, u2, u3 with…

A: The solution are next step

Q: Under what circumstance is the scalar projection of u onto v equal to the scalar projection of v…

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Q: Find the vector v whose initial and terminal points are given below. (5.5,2.1), (9.5, 6.1)

A: Recall: The vector v with initial point (x1,y1) and terminal point (x2,y2) is, v=x2-x1, y2-y1 We…

Q: Find the scalar and vector projections of b onto a. a = 4, 7, −4 b = 4, −1, 1

A: The scalar projection of b→ on to a→ is given by: a→·b→a→ And, the vector projection of b→ on to a→…

Q: Find the scalar and vector projections of b onto a. a = b =

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Q: 9. Which vector is the orthogonal projection of v = onto W = span 4. 2 V3 V6 V3 V6 O 1 /1\

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Q: Calculate a projection of vector B on A and prophecy of vector A on B. A = 4i - 3j + 2k.     B = 3i…

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Q: Find the scalar and vector projections of b onto a. a = (1,6), b = (-7, 1) compab = projb =

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Q: Find the scalar and vector projections of b onto a. a = (-3, 4), b = (7, 9) scalar projection of b…

A: Give a→=<-3,4>, b→=<7,9>We find the scalar and vector projection of b→ and a→

Q: Let a (-2, –1,9) and b = (-8, 4, 3) be vectors. (A) Find the scalar projection of » onto a. Scalar…

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Q: 5. Show that the vector ortha(b) = b – proja(b) is orthogonal to a. This vector is called an…

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Q: Find the scalar and vector projections of b onto a. a = (4,7,-4) b =(4,-1, 1)

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Q: 5) Find the scalar and vector projections for b = (-3,1,7) onto a = (0,-2, 2).

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Q: B) Let V = -2î +j- 5k and W = projection and the vector projection of V onto W. -21 – 4j – 3k be…

A: The given vectors are v→=-2i^+j^-5k^ and w→=-2i^-4j^-3k^

Q: EN Find the vector projection of uzbi+3j+2k onto vzi-zj-2k and the scalar component of u in the…

A: The distance we travel in the direction of vector v→, while traversing u→ is called the component of…

Q: A vector orthogonal to the plane through the points (-1,0,0), (0, 1, –-2), (2, 3, 4) is O O O O

A: I have append the formula in solution part

Q: siven the vectors ủ = (-3, 3, 1) and v = (- 1, 1, 2), calculate the vector projection of ū onto v

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Q: Find the scalar and vector projections of b onto a. = (3, –6, –2), b = (3, 3, 2) a

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Q: find the scalar projection of v onto w. Also find the vectorprojection of v onto w. v = (2,−3)T , w…

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Q: 2. In Euclidean geometry with standard inner product in R³, determine all vectors v that are…

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Q: Find the scalar and vector projections of b onto a, where a = (-1,1,2) and b = (-4,5,8).

A: The solution of the problem is given in the next step.

Q: Determine the vector projection of the vector (5,0, 7) on the vector (–1,3,4).

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Q: find the scalar projection of v onto w. Also find the vectorprojection of v onto w. v = (4, 1)T , w…

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Q: Let u = (-3, -1, 3) and : = (3, 1, 2). Find the vector component of u orthogonal to a. a 3D

A: Since you have asked multiple questions in single request  so we  will be answering only first…

Q: Find the scalar and vector projections of b onto a. a = 3i - j + 6k,     b = j + (1/2)k compab =…

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Q: 15. Let v = and u = be two vectors in R2. %3D a) Use the formula projyu = V to compute the…

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Q: Find the scalar and vector projections of b onto a. a = (-3, -6, 2), b= (3, 2, 1) compab projb=

A: Given a→=−3,−6,2 and b→=3,2,1 We have to find the scalar and vector projection of b→ onto a→. The…

Q: Find the scalar and vector projections of b onto a. a = 3i − j + 4k,    b = j + (1/2)k   compab =…

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Q: Write expressions for the scalar and vector projections of vector b onto vector a. Illustrate with…

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Q: Let P = (-2,0, 5), Q = (3, 1, 1), and R = (0,0, 4) and define a = PQ and b= PR. Find %3D (c) The…

A: To obtain the vectors a=PQ→ and b=PR→, find the differences of the points P, Q and P, R,…

Q: A vector orthogonal to the plane through the points (-1,0,0), (0, – 1, –2), (2, 3, 4) is O O O O

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Q: Find the scalar and vector projections of b onto a. a = {1,4} b = {2,3}

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Q: Let x, y, and z be vectors in Cn and let α and β becomplex scalars. Show thatz, αx + βy} = α z, x} +…

A: Given: z,αx+βy=αz,x+βz,y

Q: Find a linear mapping G that maps [0, 1] × [0, 1] to the parallelogram in the xy-plane spanned the…

A: Observe that the parallelogram is spanned by the vectors. <-8,9> and <7,2>

Q: A vector orthogonal to the plane through the points (-1,0,0), (0, –1,-2), (2,3, 4) is O O O O

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Q: Find the scalar and vector projections of b onto a. (4, 7, -4) ь 3 (3, -1, 1) a

A: a=4, 7, -4, b=3, -1, 1 1. Scalar projection of b onto a is Proj ba. Proj ba=b·aa          =3, -1,…