On: A IS tor while A is a scalar. |A|. If A B < 0, then the (smaller) angle between the vectors A and B is in the inte A.B For nonzero vectors A and B, the minimum value of the expression is |A||B| If A and kA are pointing opposite each other, and kA is longer than A, then k < If is the (smaller) angle between vectors A and B, then A × B = |A||B| sin If A x B = A x C, then B = = C.

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: 2. Let G and H be the points G (4, 5) and H(11, -8). 2a Find the vector HG in component form: HG 4…

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Q: B) Use vectors to check whether the points A (1,-1,0), B (2,1,-1), and C (-1,1,2), are vertices of a…

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

A: Given v∈R3 v×v=0

Q: For the vectors u= (-8,0,3) and v= (1,3,-3), calculate proj,u and scalvu.

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Q: Let v vector=[−4 −6] and b vector =[8 1 2] (check the image for reference) Is b vector in the…

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Q: 1. In this exercise we will prove that Z[√-5] is an integral domain but not a unique factorisation…

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Q: Q4) Determine if the vectors below are independent. Justify your answer. -3° - ,V2 = [2. v, = |0|…

A: Given that:      v1=002, v2=05-8, v3=-341

Q: 3) |x| = 7, y = 8, and|x - y = 10, determine | x + y. Hint: sketch out these 4 vectors on the same…

A: We know that the vector parallelogram rules  ||A+B||^2+||A-B||^2=2||A||^2+2||B||^2

Q: b) For what values of h, vector u = (h, -3, -5) can be written as a linear combination of the…

A: Vector u= (h,-3,-5)Vector v1 = (1,0,-2)Vector v2 = (-2,1,7) Vector u can be written as linear…

Q: Where v is a vector. If v in R3 and v · v = 0, then v is the zero vector. True or false. Explain…

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Q: Find a unit vector u in the direction opposite of (-1,-9, –7). | u =

A: First we find the vector of the same magnitude in the opposite direction of the given vector and…

Q: ZA

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