Find the cross products of vectors: u=(0,-4,2) and v=(-3,2,6). Find the area of the parallelogram defined by the vectors u=(2,1,-5) and v=(-3,2,6).

Q: Graph and find the area of the parallelogram formed by the vectors u = and v = .

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Q: Find two unit vectors orthogonal to a = (-2,-1, 3) and b = (5,-2, 1) Enter your answer so that the…

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Q: Find two unit vectors parallel to (2, 3).

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Q: Are vectors a = (2, 1, 3) and b = (2, -5, 1) orthogonal? %3D %3D

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Q: Consider the parallelepiped determined by the vectors A = (3, 1, 0), B = (1, 3, 0) and C= (1, 1, 1).…

A: Consider the parallelepiped determined by the vectors   a=⟨3,1,0⟩, b=⟨1,3,0⟩ and c=⟨1,1,1⟩ The…

Q: Please help

A: Step 1: Concepts and formulas. Step 2: Solution of first question. Step 3: Solution of second…

Q: Let u= and v=. Give two vectors that are perpendicular to both u and v.

A: Consider the vectors

Q: Determine the angles between the following pairs of vectors. (a) (−1, 1), (0, 1)     (b) (2, 0), (1,…

A: To determine the angles between the following pairs of vectors.

Q: Find the area of the triangle with vertices (1, 1, 2), (2, 3, 5), and (1, 5, 5). Use vectors and…

A: Consider the given question, Let the vertices of the triangle ABC is A(1, 1, 2), B(2, 3, 5) and C(1,…

Q: Find the vectors u and v whose initial and terminal points are given. Initial Point Terminal Point…

A: Find the vectors u and v whose initial and terminal points are given.        Initial Point  Terminal…

Q: Find four different nonzero vectors that are orthogonal to v = (-1,5,2)

A: This is a simple problem based on orthogonal vector which could be solved by using basic knowledge…

Q: find a vector that is orthogonal to (1,2,3) and (4,5,6). do not use cross product.

A: Let's find vector that is orthogonal to given two vectors.

Q: The cross product of vectors a = (-1, 4, 6) and b = (3, 0, -2) is %3D

A: The cross product of vectors is given below