Find the area of the parallelogram that has the given vectors u = i + j + k,      v = j + k as adjacent sides. Use a computer algebra system or a graphing utility to verify your result.

Q: Find each scalar multiple. aа. 2(3, 1) b. 3(-5, 1) c. -(-6. 0)

A: Given: a)  23,1b)  3-5,1c) -12-6,0 To determine: Scalar multiple in each case.

Q: Find -3w - 6 (u + 2v) if u = -3j, v = i + 2j, and w=--.Express your answer as a linear combination…

A: The given vectors are:u=-3jv=i+2jw=-13i-73j

Q: If A is (3,5,0), B is (-1,-2,7), and C(6,1,3) forms a triangle. Find the vector component of CB…

A: let a,b,c are position vector of point A,B,C respectively. Therefore a=3i+5j, b=-i-2j+7k c=6i+j+3k…

Q: Find a vector orthogonal to both and . Include a step by step solution please

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Q: What is the area of the parallelogram formed by the two vectors = (1,5) and = (-3,-2)?

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Q: 3. Write u= -=[3] as a sum of vectors, one in the direction of and another orthoganal to a. -1 a=

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Q: Q1: suppose the middle of each side of the triangle is a vector from the vertex (1,2,3), (3,2,1),…

A: Vectors

Q: Calculate the area of the parallelogram determined by the points (-1 , -1), (2 , 4), (4 , 3) and (7…

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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: Three points (9,-2, 4), (5,-5,3), and (7,1,-3) can be the vertices of a triangle. If you can make…

A: Vectors

Q: u = (7,2,-5) and v = (9,-1,-6).

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Q: Topic : Vector

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