In Exercises 1 through 18, determine whether the vector i is in the span V of the vectors v1, . ., īm (proceed “by inspection" if possible, and use the reduced row-echelon form if necessary). If ï is in V, find the coordinates of i with respect to the basis B = (1, . .., öm) of V, and write the coordinate vector |x |B.

Q: Show whether R³ of the set B is a base and find the coordinate vector of the vector u = (- 1, -5,9).

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Q: Three points A, B,C in R are given: A = (1,2, 3). B = (2,2, -1). C= (3,1,0). Find the coordinates of…

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Q: VF 1. Consider the following vectors: t =, u =, w =. a. Find the following linear combination of the…

A: For any vector u-> =<x,y> ,is the vector whose initial point is (0,0) and terminal point is…

Q: Find the vector component of v = (4,–1, 7) along b = (1, 4, -8) and the vector component of v…

A: Given: v=4,-1,7 & b=1,4,-8   We know that; The expression for the vector projection v onto b is:…

Q: Consider the points A (10, 9) and B (0, – 7). Find the vector AB. АВ

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Q: Let u= (9, 4, 3) and 3). Find a nonzero vector orthogonal to both u and v. Enter your answer as a…

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Q: Find the vector of length v7 in the direction of AB + AC

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Q: Given vector u = (-3,2) and v = (-3, –1) , determine the value of v – 2u ir component form.

A: We can determine the component form as below.

Q: Compute the following cross product. Then make a sketch showing the two vectors and their cross…

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Q: Ifv+w= and v = [1]. C W= , compute and draw the vectors v and w.

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Q: Given the vectors A = ⟨0, 4, 2⟩, B = ⟨6, −1, 0⟩ and C = ⟨3, 0, 1⟩. Determine the unit vector with…

A: This is a problem of vector Algebra.

Q: Find the vector v and illustrate the specified vector operations geometrically, where u = (−2, 3)…

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Q: Determine whether the vectors {(1,-1,2).(-1,1,2).(0,0,1)} span R3. If they do, give the linear…

A: To discuss the linear independence (or otherwise) of the given vectors and describe their span