37-40 - Cross Products and Orthogonal Vectors Two vectors u and v are given. (a) Find their cross product u X v. (b) Find a unit vector that is perpendicular to both u and v. 37. u = (1, 1, 3), v = (5, 0, -2) 38. u = (2, 3, 0), v = 39. u = i- j. v = 2j - k = (0, 4, – 1) 40. u = i+j– k, v = i- j + k

Q: Find any one vector w (not the zero vector) that is orthogonal to BOTH vector u = (1, –1,0) and…

A: w be a vector that is orthogonal both u and v then w =u×v. see 2nd step.

Q: 3-8 - Cross Products For the given vectors u and v, find the cross product uX v. 3. u = (1,0, –3), v…

A: Since you have posted multiple questions, as per our policy we will answer first question. Please re…

Q: 33-36 - Angle Between Vectors Two vectors u and v are given. (a) Find their dot product u v. (b) Are…

A: Since you have posted multiple questions, as per our policy we will answer first question. Please re…

Q: 23-24 - Operations with Vectors Two vectors u and v are given. Express the vector -2u + 3 v (a) in…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 17-20 - Orthogonal Vectors Are u and v orthogonal? If not, find the angle between them. 17. u = (-4,…

A: u={-4,2} and v={3,6} Check dot product: u.v= {(-4.3) + (2.6)}…

Q: 3-6 . Vectors in Component Form Find the vector v with ini- tial point P and terminal point Q. 3.…

A: Authoring guidelines:…

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Q: 1. Initial point of vector v is ( 2, -1, 3) and the terminal point is ( -1, -3, 2) Write components…

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Q: 1. Initial point of vector v is ( 2, -1, 3) and the terminal point is (-1, -3, 2) Write components…

A: initial point of vector v is (2,-1,3) and the terminal point is (-1,-3,2)

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Q: 21-24 - Area of a Parallelogram Find the area of the parallelo- gram determined by the given…

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Q: 5-14 - Dot Products and Angles Between Vectors Find (a) u · v and (b) the angle between u and v to…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want…

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A: The posted question has multiple questions but according to guidelines we will solve the first…

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A: we only do only three subparts therefore here we have done first three parts we have to find the dot…

Q: Hi I just need help with b & c

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Q: 39-42 - Properties of Vectors Let u, v, and w be vectors, and let e be a scalar. Prove the given…

A: Hello! thank you for the question but as per our honor code, we'll able to solve only the first…

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A: 1). Given vectors are u=-2,3, v=8, 1. To find: u, u+v, u-v, 2u and 3u-2v. Solution: We have u=-2,3…

Q: 9-10 - Component Form of a Vector The length u| and direction 0 of a vector u are given. Express u…

A: We have given length u and direction θ of a vector u. We have to express u in component form.

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Q: Use vectors u= (-4,1) , v= (5,-2), and w= (0,6) to perform the indicated operation. Then determine…

A: The given vectors are: u=-4, 1v=5, -2w=0, 6

Q: 13-16 - Length of a Cross Product The lengths of two vectors u and v and the angle 0 between them…

A: Since you have posted multiple questions so we solve the first three for you, to get the remaining…

Q: 1-2 - Let u = (a,, az) and v = (b, b;) be nonzero vectors in the plane, and let 0 be the angle…

A: Given vectors - u = a1i+a2j               ...........(1)v = b1i+b2j             ...........(2)Part…

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Q: 1) The orthogonal vectors u and V of the following are a) u = (1,0,1) and v= (0,1,1) b) u (3,0,-1)…

A: solution:-(1) for orthogonal vector u·v=0(a)u·v=1,0,1·0,1,1=1×0+0×1+1×1=1  not…

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Q: 1. Consider A = (0, 4, 2) , B =, (6, –1, 0) and C = (3,0, 1). (a) Find the unit vector having the…

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Q: 31-36 - Operations with Vectors Find 2 u, -3v, u + v, and 3u - 4v for the given vectors u and v. 31.…

A: "Since, you have askeda question with multiple subparts, we will solve the first three for you.If…

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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: 28–31. Vector operations Let u = (3, –4), v = (1,1), and w = (-1,0). Find two vectors parallel to u…

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