Represent the vector with respect to each of the two bases { ] y = B = B2 =

Q: Find a unit vector that is orthogonal to both u = i − 4j + k and v = 2i + 3j.

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Q: Find a unit vector that is orthogonal to both u and v for u = and v = .

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Q: The norm of the vector v= - i+10j-8k is ||v||=, (Round your answer correct to 3 decimal places)

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Q: Find a vector v such that ||v|| = 20 and v is in the same direction as 15i + 15j

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Q: Resolve the vector of 300N at N25W into its rectangular components. Use right/left and up/down for…

A: To resolve the vector

Q: Write the following vector as a linear combination of the unit vectors i and j. (-4,Radical 2)

A: We need to the following vector as a linear combination of the unit vectors i and j

Q: Find the B-coordinate vectors of ei and e2, where and B : %3D %3D %3|

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Q: What are the components of vector a, given the following information

A: Components of a vector  :ax=|a|cosθay=|a|sinθNow Vectora→=ax,ay

Q: 4. Find the vector v that is orthogonal tou=i+j+k and whose r-component and z-component are 2 and…

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Q: Find a vector v whose magnitude is 4 and whose componentin the i direction is twice the component in…

A: Given: magnitude of the vector  is 4  The component of the vector  in the i direction is twice the…

Q: Find the magnitude of the vector 3i - 3j. 18 O 23 0 6 312

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Q: Find c so that the vector v is orthogonal to W = ||

A: Given: v=1c. w=2-1 Vector v and w are orthogonal only if the dot product of vectors is zero.

Q: Consider the vector v = (x, 2) in R2. If you rotate the vector by 90-degrees counter-clockwise, then…

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

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Q: Find the given vector : Vector of length 3 in the direction of v = 4i + 3j

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Q: Find a vector v such that ||v||=20 and v is in the same direction as 15i+15j.

A: The parallel vector of a vector is the scalar multiple of the vector, and if scalar is positive then…

Q: Find a vector v parallel to u=4i−3k and with magnitude ||v||=4

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Q: Find the vector v of length 6 that has the same direction as the unit vector (1/2, V3/2).

A: Consider the following values: magnitude=6unit vector=12i^+32j^

Q: Sketch the following vectors, and find their components andlengths: i + j + k

A: The vector is i+j+k sketch the vector and find its length.

Q: Express the vector in the form (a, b). 1(i + j) ji + jl

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Q: Find a vector v whose magnitude is 6 and whose component in the i direction is four times the…

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Q: Find the magnitude only for the vector from T(-2, 6, 1) to U(10, -3, -4).

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Q: At what value of k are these vectors collinear?

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Q: Find the components of the vector ī, with |u| = 7.8 and 0 = 21.3°.

A: Given: To Find:  The components of given vector  Formula Used: The components of vector v with…

Q: Find a unit vector orthogonal to A in the plane of B and C if A = 2i - j + k, B = i + 2j + k, and C…

A: The given details are as follows.

Q: Find the angle between the vector through the origin & the point (1,1,1) and the component of Ā = 2i…

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Q: 45° |C|=20 Find the EXACT components of the vector above using the angle shown.

A: |c| = 20 It have two component in horizontal and vertical direction.

Q: Determine a unit vector perpendicular to both A=i+2j-3k and B=-2i-3j+k

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Q: Consider the vector v = (2, y) in R?. If you rotate the vector by 90-degrees counter-clockwise, then…

A: Given,   v=2,y   in ℝ2.

Q: Find the magnitude of this vector U=9i + 12j

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Q: write the vector v in terms of i and j.

A: Given, Initial point P1=(6,2) Terminal point P2=(-3,4)

Q: Find a unit vector that is orthogonal to both i+j and i+k ?

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Q: Find a unit vector orthogonal to the vector A= 2i-j+k and parallel to the vectors B= 2i+2j and C=…

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Q: Calculate the magnitude of the vector AB shown in the diagram. A B-

A: As per guidelines we can solve the first question only. For any other answer repost the question.

Q: Find the length of the vector T

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Q: Find the vector joining the points P1= (-3, 1) and P2= (5, 2) %3D %3D in terms of i and j.

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Q: Write the vector v in the form a i+bj,

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Q: Find  the vector in the same direction as  i + j  whose component in the   direction of  2i-2k  is…

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Q: ) The magnitude of the vector a = 2i – 3j is

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Q: Find the magnitude of the following vector. (-1, 2)

A: Given<-1 , 2>

Q: Assuming vector B is 12 units long, vector 4B is:

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Q: Find a vector B for which that is parallel to A =-6i +3j –2k but has the opposite direction.

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Q: Find the angle a between the vectors L3] and]

A: Find the angle between vector s

Q: Express the vector v = 4i + 2j - k in terms of magnitude and %3D direction.

A: