w is the orthogonal projection of the vector v upon the vector u where v:=vector([1,-1,1]); u:=vector([1,1,1]); w:=vector([1/3,1/3,1/3]). Then the or

Q: Show that the vector a=(-1,13, – 5)can be written as a linear combination of b = (1, 4, – 2) and c=…

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Q: Let the vector be x = (5,6), determine its coordinates relative to the base B = {(1,1),(-1,2)}}

A: Introduction: When a basis is provided, one can represent a vector belonging to the precise vector…

Q: For the vectors à = (1, 0, −4) and ¯` = (5, 2, 1) what is the scalar a projection of onto a 1/17 √17…

A: The vectors are given by÷

Q: Let / be the line through the point with coordinates (1,1,1) in the direction of the vector on [? O…

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Q: Let X=(1,-3)t be the transpose of vector (1,-3). If you rotate X by angle of π/3 what are the…

A: The transpose component is X=1, -3t

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

A: Answer is 10.1

Q: Let v = (7,8). Suppose w E R2 is perpendicular to v, and that ||w|| = 9. Find both possible vectors…

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Q: Let ū = -27+ 95 and v = 4i- 7j. Compute each of the following. %3D (a) 2u – 30 (b) ||ū+ T|| Find a…

A: Note: As per company guidelines we are supposed to solve only 1 question. So, kindly repost other…

Q: What is the component and projection of the vector Å x B into the vector N 0.87 + 0.6k , if the…

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Q: Determine if the vector x̄=(-12i-j-5k) can be expressed as a linear combination of ū=(1,-1,0),…

A: The solution of the problem is given in the next steps.