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

Q: Find a vector v with initial point vector in the direction of v. Enter your answers in i, j, k…

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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) V =

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Q: Decompose v into two vectors,one parallel to w and the other orthogonal to w. ; v=-i+2j; w=3i-j

A: Given: Decompose v into two vectors,one parallel to w and the other orthogonal to w.  v=-i+2j;…

Q: (a) find the projection of u onto v and (b) find the vector component of u orthogonal to v.

A: (a) find the projection of u onto v and (b) find the vector component of u orthogonal to v.…

Q: Find the length of the vector. v = (0, 2) ||v| = %3D

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Q: Find a unit vector u in the direction of v. Verify that ||u|| v = (1, -9) U =

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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: ind a unit vector orthogonal to bothu and v. u = (-8, 7, -2) v = (-1, 1, 0)

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Q: Express the vector t as a linear combination of the vectors u, v and w: t = (5,30, –21), u = (5,2,…

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

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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: (i) Compute the vector projection of u onto v, proj u , where V u = (3, 3) & v= (2, 0). (ii) What is…

A: The given vectors are u=3,3 and v=2,0

Q: 3. Find the projection of u = (2,1,2) onto v = (0,3,4) and the vector component of u orthogonal to…

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Q: Find the projection of u onto v and find the vector component of u orthogonal to v. u = ⟨9, 7⟩, v =…

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

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Q: Determine all vectors v that are orthogonal to u.u = (0, −4, 3)

A: Given u=(0,-4, 3)we have to find all vectors v that are orthogonal to u,If u.v =0 then vectors u and…

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

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Q: Find the projection of u onto v and find the vector component of u orthogonal to v. u = ⟨8, 2, 0⟩,…

A: Consider the given vector u=8,2,0 and v=2,1,-1

Q: Verify the Pythagorean Theorem for the vectors u and v.u = (4, 1, −5), v = (2, −3, 1)

A: Given   The vector u = (4, 1, −5), v = (2, −3, 1) Pythagorean Theorem for the vectors

Q: Let u =(0,1,2) and v=(-2,2,0). Find %3D a. A vector w orthogonal to both u and v. b. The area of the…

A: The orthogonal vector both u and v is u×v . And the area of parallelogram is |u×v|

Q: How do you find out the projection of a vector u on a vector w

A: Projection of vector u on w is nothing but the dot product of u and w divided by magnitude of vector…

Q: Find the projection of u onto v and find the vector component of u orthogonal to v.…

A: Given that, u=6,7 and v=1,4

Q: Define irrotational vector. Is the vector A =(6xy+z³)i+(3x² - 2)j+(3xz² – y)k irrotational? Justify…

A: we have the vector A=(6xy+z3)i+(3x2-z)j+(3xz2-y)k we have to check weather the given vector is…

Q: Let v be the vector from initial point P, to terminal point P2. Write v in terms of i and j. P,…

A: We will use the fact that a vector is determine by the initial point and final point as given in the…

Q: Find a unit vector u in the direction of v. Verify that ||u|| = 1. v = (-3, 3) u =

A: We have to find unit vector

Q: Consider the following. u-(-6,-1, -9), v- (-5, 3, 4) (a) Find the projection of u onto v. (b) Find…

A: Given that u=<-6,-1,-9> and v=<-5,3,4>

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

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Q: Find the cross products u×v and v×u for the vectors u=2,3,−7 and v=1,−1,1.

A: vector or cross product

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: How does translation T along vector AB affect the points in the plane?

A: Some information in the question is missing.

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: Describe the span ot the two vectors (1,0,9) and co. 1,15 geometricellyy in

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Q: Find a unit vector u in the direction of v. Verify that ||u|| 1. %3D v= (12, -5) V = u =

A: Given: v=12,-5 =12i^-5j^ Unit vector in direction of vector a→ is defined as a→a→, where a→ is the…

Q: Determine all vectors v that are orthogonal to u.u = (0, 5)

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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: Let vectors u=[1,0,-1] and v=[-2,1,2].Find the vector w that is orthogonal to both u and v

A: The given vector is u=[1,0,-1] and v=[-2,1,2]

Q: Find a non-zero vector 7 perpendicular to the vector u = 5= [8]. 6

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Q: Find a unit vector u in the direction of v. Verify that |u|| = 1. %3D v = (-6, 6) u = Need Help?…

A: To find the unit vector u in the direction of v = (-6,6).

Q: 2. Find the vector projection of u along v. u = (2,1,3), v=(-2,3,2) V

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Q: Find the projection of u onto v and find the vector component of u orthogonal to v. u = ⟨0, 3, 3⟩,…

A: Given u=0,3,3, v=-1,1,1

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: (c) Are the vectors v1 = (3,1,2, 1), i2 = (-1,0,1,0), iz = (3,0,0,3), T4 = (5, –2,0, 4) linearly…

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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: Let u = -2i + 3j, v = 6i - j, w = -3i.Find specified vector ||u + v ||2 - ||u - v||2 or scaler.

A: Given vectors are  u = -2i + 3j, v = 6i - j, w = -3i.