linear algebra  Determine the unit vector perpendicular to the vectors a=i-2j+3k b=3i-j+2k

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Q: Tutorial Exercise Use the vectors u = (6, 6), v = (-5, 3), and w = (4,-6) to find the indicated…

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Q: linear algebra  Write the vector 2i −j + 3k as a linear combination of the vectors i + 2j ,  2i - k…

A: We use the definition of linear combination of vectors to answer the given question.

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Q: Normalize the vector j = (1, - 2, 5, 0, - 1) Write complete and organized solutions.

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A: Here given vector u=3, 5 Let v=v1, v2 Such that v is orthogonal to u. ⇒u·v=0

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Q: olve the vector product and scalar product of two vectors a = (1, 2, 3,) and b = (3, -2, 1)

A: Given a=i+2j+3k b=3i-2j+k

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Q: Vectors What is the resultant of vectors a and b? ( B A

A: Here I am attaching image so that you understand each and every step.

Q: Working with vectors Let u = ⟨2, 4, -5⟩ , v = ⟨-6, 10, 2⟩ , and w = ⟨4, -8, 8⟩ . Find the unit…

A: Given: u=2,4,-5, v=-6,10,2, w=4,-8,8 we know that unit vector u^ in direction of given vector…

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Q: Perpendicular vectors Show that two nonzero vectors u = (u, uz) and v = (Vị, v2) are perpendicular…

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Q: a,b,c are all vectors. For the vectors:  a = 3i+4k ; b = 2i-j ; c =i+j-5k calculate: 1) vector c •…

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Q: a) 2i + 7 – k, 27 + 3) – 2k, i + 23 + E

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Q: linear combination of the standard unit vectors i and j.

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Q: Angle Between Vectors T Find the angles between the vectors 9. u = 2i + j, v =i+ 2j –k 10. u = 2i –…

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Q: Linear Algebra Find a vector in the Span{v1, v2} that is orthogonal to v1. Then use v3 to find a…

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Q: Orthogonal unit vectors in R Consider the vectors I = (1/V2, 1/V2) and J = (-1/V2, 1/V2). %3D Show…

A: Show that I and J are orthogonal unit vectors.

Q: 6 Describe two vectors a and b such that (a) a + 6 = and a+b= c; (b) ở + B = - B; (c) à + B = and…

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Q: Find the component form and magnitude of the vector v. Initial Point Terminal Point (2, 3) (-10, –6)…

A: Given : Initial point : ( 2,3) Terminal point : ( -10 , -6)

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Q: 29-32 - Perpendicular Vectors? Determine whether or not the given vectors are perpendicular. 29. (4,…

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Q: а. Two vectors A and B are given at a point P(r, e, ¤) in space as А %3D10а, + 30а, -10а, | В 3D -…

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Q: nitial Point     Terminal Point (−1, 1)      (3, −4)

A: Given that  Initial point =(-1,1)=OA And terminal point=(3,-4)=OB

Q: Test I: Determine whether u and v are orthogonal vectors. 1. u = (6,1, 4), v = (2, 0, -3) 2. и %3D…

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Q: linear algebra  Write the vector 2i −j + 3k as a linear combination of the vectors i + 2j ,  2i - k…

A: To Write the vector 2i −j + 3k as a linear combination of the vectors i + 2j ,  2i - k and j - 2k.

Q: 19-22 - Writing Vectors in Terms of i, j, and k Express the given vector in terms of the unit…

A: 19)(12,0,2) to make vectors in terms of i, j, and ka=12i+0j+2k   =12i+2k20)(0,-3,5)  to make vectors…