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

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Q: Find the unit vector u in the direction of the vectorv=(-5, 12, 0).

A: Given          v =( -5, 12, 0 )

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Q: 23. Are the vectors u = and v = orthogonal? Explain.

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

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Q: and = Wnte Pas the sum of two orthogonal vectors, 2 in S panƐu} and orthogonal to .

A: Given that y→=51 and u→=36.It is required to write y→ as the sum of two orthogonal vectors, x1→ in…

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

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A: The coordinates of point M is 1,1,0 . The orthogonal vector to M is 200. The equation of the plane…

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A: Sketch the vector b=<3, 4> based at P=(−2, −1).

Q: Find the magnitude of the projection of (– 5, – 7) onto the vector (– 8, - 4)

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Q: Consider the vector v = ⟨v1, v2, v3⟩. What is the meaning of arccos v2 / II v II = 30°?

A: Consider the vector v=v1,v2,v3 Use the dot product rule: v·j=v×jcosθ=vcosθ where θ is the angle…

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Q: Let v be the vector from initial point P1 = (-8, 6), to terminal point P2 = (-2, 3). Write v in…

A: Let v be the vector from initial point P1-8,6, to terminal point P2-2,3.

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Q: What is the terminal point of the vector a = (4, 1) based at P = (1, 5)? Answer:

A: Use the definition of terminal point, we solve this problem as in next step.

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A: Some information in the question is missing.

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

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A: I have appended the formula used in the solution part of the question

Q: tind a non-zero vector perpendıcular to the vectar u. Find the length of the vector R-

A: Consider two vector u→=ai→+bj→ and v→=ci→+dj→ if the two vector is perpendicular then the angle…

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A: For linearly dependent determinant  of matrix is zero D=0

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).

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Q: Find a unit vector u in the direction opposite of (-9, –2, –3). u =

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Q: Find a unit vector u in the direction opposite of (-8,-4,-9). u =

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A: Given that: Vector, v= ⟨−2.83,−0.419999999999998,3.52⟩

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

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Q: Consider the vector whose initial point is P( – 4, 3) and terminal point is Q(0, - 1). Find the…

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Q: Find a unit vector u that had the same directions as the vector v= (-3,3,-2)

A: Use the basic property of unit vector

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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 the component form of the vector. The vector from the point A = (2, 3) to the origin.

A: Find the component form of the vector. The vector from the point A = (2, 3) to the origin.

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

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Q: find the component form of the vector. The unit vector obtained by rotating the vector [0, 1]…

A: Given unit vector is 0,1 makes an angle of 90°. The vector obtained by rotating it by 120° counter…

Q: Find the magnitude of the projection of (- 5, 6) onto the vector (– 1, 0)

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