Find the scalar and vector projections of b onto a. a = (-3, -6, 2), b= (3, 2, 1) -꼭 19 compab = 7 57 144 38 projąb = 49 49' 49

Q: Find a unit vector that is orthogonal to both u and v. u = (-8, -6, 4) v = (17, -18, –1) V =

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A: Consider the provided information, The component vector v=PQ→ where P=a1,b1 and Q=a2,b2 are…

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Q: Express the vector in terms of the unit vectors i and j. 2(3, 3) + 3(4, 2)

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Q: Find a unit vector that is orthogonal to both u and v. u = (-8, -6, 4) v = (12, -16, -2)

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Q: Find a unit vector orthogonal to both u and v.u = (2, −1, 3) v = (1, 0, −2)

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Q: Find a unit vector u in the direction of the vector from P1(1, 0, 1) to P2(3, 2, 0).

A: Concept: Unit vector is a quantity which has a magnitude as 1and as well as direction, it is also…

Q: Find the scalar and vector projections of b onto a, where a = (2, −2, 1) and b =  (IMAGE)

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Q: Find a unit vector perpendicular to both u = (2,3, –4) and v = (-1,1,–4). %3D

A: The unit vector perpendicular to u and v is given by: w=±(u×v)|u×v|

Q: Find a unit vector orthogonal to both u and v.u = (−4, 3, −2) v = (−1, 1, 0)

A: Given u→=(-4,3,-2)v→=(-1,1,0) unit vector orthogonal to both u and v is gruen by     u→×v→‖u→×v→‖

Q: Find a unit vector that is orthogonal to both u and v. u = (-8, -6, 4) v = (17, -18, –1)

A: the given vectors are: u=-8,-6,4v=17,-18,-1 we have to find a unit vector that is orthogonal to both…

Q: Find the length of the vector a %3D

A: The length of a vector x→=abc is given by the equation; ||x→||=a2+b2+c2

Q: Find u + v, u − v, and 2u − 3v. Then sketch the resultant vector. u = 4,3    , v = -3, 0

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Q: Find a unit vector that is orthogonal to both u = (- 1, 4, – 5) and v = (0,4,–7). %3D

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Q: Let u = (2, 1, 5) and v = (3, 4, 2). Find the scalar and vector projections: comp,u, uv

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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: 3 Determine the unit vectors that are nernendicular to A - and R -

A: Perpendicular vectors

Q: Find a unit vector that is orthogonal to both u and v. u - (5, -1, 3) v = (1, 0, -2) %3D

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Q: Find the scalar and vector projections of b onto a, where a=⟨−1,1,2⟩ and b=⟨−1,5,4⟩

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Q: Find a unit vector that is orthogonal to both u and v. u = (-8, -6, 4) v = (17, -18, -1)

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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 length of the vector. v = (-2, 0, 5, 1) %3D ||| M = %3D

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Q: Find the unit vector u in the di rection of the vector v=2(2, 1, 2).

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Q: Find the vector component of the vector U orthogonal to a: и %3D (4, —1,2) and a %3D (1,3, —2).…

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Q: Find a unit vector u in the direction of v. Verify that u|| = 1. v = (-6, -4)

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Q: Find a unit vector parallel to the vector a´. a'= (-2,3,–1)

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Q: Find the scalar and vector projections of b onto a, where a = (-1, 1, 2) and b = (-2,7,2). 1. comp,…

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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: Calculate the coordinates of the vector w obtained by rotating anticlockwise the vector v= [0, -1,…

A: When a coordinate is being rotated along the direction of a vector by a certain angle, the new…

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: Find the scalar and vector projections of b onto a, u

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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: Use vectors =(-1, 1), v= (7, –2), and w= (0, 4) to find (u w)v, and determine whether the result is…

A: We can answer it as below

Q: Find the scalar and vector projections of b onto a. а - (-4, -3), ь - (6, 0) compab projąb

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Q: Find a unit vector that is orthogonal to both u and v. u = (-8, -6, 4) (17, –18, –1) V

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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 a onto b where a=(0,1,-2) and b=(-1,0,3)

A: Given , a = (0,1,-2) and b = (-1,0,3).

Q: Find a unit Vector orthogonal to both vectors: U =21 +5j-K and V=i+3j-2K.

A: We can find the unit vector as below

Q: Find a unit vector that is orthogonal to both u and v.      u = ⟨−8, −6, 4⟩,          v = ⟨10, −12,…

A: Consider the following vectors: u=-8,-6,4v=10,-12,-2 A vector orthogonal to both u and v is the…

Q: Find a unit vector orthogonal to both u and v. u = (-4, 5, -2) v = (-1, 1, 0)

A: The vector which is orthogonal to both u and v is defined as u×vu×v. Here, u=-4,5,-2 and v=-1,1,0.…

Q: Use a dot product to determine whether the vectors u = ⟨1, 2, 3⟩ and v = ⟨4, 1, -2⟩ are orthogonal.

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Q: Use the vectors u= (3, 6), v=(-6,5) to find the indicated quantity. State whether the result is a…

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Q: Find the magnitude of the projection of (7, 7) onto the vector (0, 9) Round your answer to at least…

A: Given 7,7 onto 0,9

Q: Find a unit vector that is orthogonal to both u and v. u = (-8, -6, 4) (10, -12, -2) %3D V =

A: Find the unit vector that is orthogonal to both u and v

Q: Find the scalar and vector projections of b onto a, where a = (1,2) and b = (-–9, 1). %3D 1. comp, b…

A: We have to e the magnitudes of thr given vector first.

Q: Find the two unit vectors orthogonal to both a = (4, 1, 1) and b = (-1, 4, 1). %3D

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Q: The scalar projection of the vector 7 = (-2, 3, 1) on 7= (2m, -1, 3) is -1. Determine the value of…

A: Follow next step

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,…