2. Given the vector a = (3,-4,5) and vector b = (-2,3,1) determine the following in the most simplified and exact form a) The magnitude of läl b) The coordinates of 2a - 3(a + b) c) axb c) Draw the vector a=(3,-4,5) (use a ruler)

Q: a= b=

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Q: he points A(1,-2,4) and B(2,-4,1) cach make direction vectors with the point (Xo.Yo, Zo). The point…

A: The Parametric equations of the line are the components of the vector equation , and have the form…

Q: Draw arrows representing: (8, 12), (-6,4), (2, -12), (4, 10) 12 10 10 12 8- 10- 12- 14

A: We can answer first question as per the honor policy. Please resubmit other question as well to know…

Q: Illustrate how you would find the unit vector having the same direction as vector (p.q.r).

A: Given vector is p,q,r. We have to illustrate the method to find the unit vector having same…

Q: 2. Find the angle between vector [2, -5,7] and vector [6,4,1]

A: Vector [2,-5,7] and vector [6,4,1]  We have to find angle between these two vectors

Q: A triangle is formed by A = (3,3,1), B = (0, 1, 5), and C = (1, -4,-1). a. What are the angles of…

A: A triangle is formed by A=(3,3,1), B=(0,1,5) and C=(1,-4,-1).We need to find:a the angles of this…

Q: Points to choose from: A(1, -6, 8), B(3, 2, 1), C(-4, 10, -7), D(5, 7, -2), E(-1, -8, 7) 1. Choose…

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Q: Vector v = <1,1,0> and vector w = <-1,-1,sqrt2>. Find the area of the parallelogram…

A: The objective of this question is to find the area of the parallelogram formed by two vectors v and…

Q: 4) Consider the vectors u = [3, -2] and v= [-5, 4], write a = [-24,18] as a linear combination of u…

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Q: As per attachment ,Which two vectors are parallel?

A: v1=4, 6,  v2=-3, -6,  v3=-8, 4  &  v4=10, 15.

Q: Find the projection of = 5 2 -7 onto the line I with vector equation = td where d = -5 -3 6

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Q: 8) Given the vectors (5, 5) & (5, -5); both vectors start at the origin, find "e", the angle between…

A: Vector is a quantity that has direction as well as magnitude. In coordinate system, length of vector…

Q: How do I find the magnitude of  this vector?

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Q: What is the area of the parallelogram formed by the two vectors = (1,5) and = (-3,-2)?

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Q: Q1: suppose the middle of each side of the triangle is a vector from the vertex (1,2,3), (3,2,1),…

A: Vectors

Q: a) à = [ 7₁ -2], 6 = [2, -5] b) c = [ 3,5], j = [1, 2]

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Q: Find the area of the triangle with vertices (1, 1, 2), (2, 3, 5), and (1, 5, 5). Use vectors and…

A: Consider the given question, Let the vertices of the triangle ABC is A(1, 1, 2), B(2, 3, 5) and C(1,…

Q: Find a vector with initial point (-5, 0, -2) and terminal point (-4, -5,7). Then find a unit vector…

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Q: 1. Use components to find the magnitude and direction of a) Ã + B; b) Ã – B; c) B – Ã. Ã (2.80 cm)…

A: a) The magnitude of given vectors are A→=2.80cmB→=1.90cm The X and Y components of  A→ are…

Q: Let a and b be two unit vectors. 1) a x (a.b) 2) a . (axb) 3) a . (a+(axb)) 4) (axb) + (bxa)…

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Q: A vector v is defined with initial point P = (2, -6) and terminal point Q = (-3, -2) a)  Graph the…

A: Given  A vector v is defined with initial point P = (2, -6)  terminal point Q = (-3, -2)

Q: ind {(1,-1,0,2), 3,4,2,1), (1,0,0, 1)} ench vecton th anther There three is this combinat ave

A: In this question we will use basic of calculus i.e concept of vector calculus. We will simply form…

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: Sketch the vectors in the plane a= (6, 1), b=(-1, 5) Calculate the dot product a•b for the vectors…

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