Find a representation of the vector AB = (4, -14) in R2 by giving appropriate values for the points A and B such that neither A nor B is the origin. A = B =

Q: Given two non-zero vectors a and b such that abs(a+b)=abs(a-b), find the value of a*b (dot product…

A: Given Two non-zero vectors a and b such that  a+b=a-b            ...........1 The dot product of and…

Q: Write the vector u=<2,-3,1> in the form v+w, where v is a vector parallel to the vector…

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Q: Let w be a vector with initial point (1,5) and terminal point (-6, –5). Write w as a linear…

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Q: Q12: Let vector v = (1, 3) and vector w=(-4,-2). Write vector v as the sum of two orthogonal…

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Q: 2 Let a = -1 | and b = 1 | be two vectors 1 What is |al2|b|2 |a · b[? ?

A: Let us consider the vector v=x1,x2,....,xn then the magnitude of the vector is obtained as…

Q: Find the equations of the traces in the coordinate planes and sketch them z = x2 +9y2

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Q: Find a vector a that has the same direction as (-8, 5, 8) but has length 3. Answer: a =

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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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Q: Let v be the vector from initial point P₁ to terminal point P₂. Write v in terms of i and j. P₁ =…

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Q: For any vector v in ℝ3, explain why v × v = 0.

A: Given v∈R3 v×v=0

Q: Find the value of c that will make the vector 2 lie in the span of 0 2 and

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Q: Find two independent vectors both of which are perpendicular to i = 3

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Q: Find non-zero vectors I and 7 that are both orthogonal to and orthogonal to each other.

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