Find a representation of the vector AB= (11, -15) in R2 by giving appropriate values for the points A and B such that neither A nor B is the origin. A = B = help (points) help (points)

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Q: Fill in the blanks with numbers to show that the vector is a linear combination of the ---

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A: Let (a,b) ∈ R2 , We write the (a,b) is the linear combination of the given vector (1,-2) and (-2,1)

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Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

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A: Two vectors are said to be perpendicular to each other if and only if their dot product is zero.

Q: Given an initial point A(4,7,4) and terminal point B(-7,8,-2). Find the component form of the vector…

A: Given an initial point A(4, 7, 4) and the terminal point B(-7, 8, -2).

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Q: Determine if the pairs of vectors below are "parallel", "orthogonal", or "neither". a = (-5,5,-5)…

A: We have to check whether the following vectors are orthogonal, parallel or neither.Orthogonal: Two…