Let y = 18 || = and u = 6 Write y as the sum of two orthogonal vectors, ₁ in Span {u} and ₂ orthogonal to u. H , 2: =

Q: Find two vectors v1 and v2 whose sum is (-5, –5, 5), where vi is parallel to a =(0, –1, –2) while v2…

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Q: Express the vector == 7= Z+ y. -22] 10 as a linear combination of = -(-3) and y=

A: Consider the vector v→=-2210. To express it as linear combination of vectors x→=-4-5 and y→=1-5.…

Q: 1 5 Let v -7 -3 Justify each answer. 2 h (a) For what values of h is v in Span{v1, v2}, and (b) for…

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Q: Graph the two vectors x= (5, 1,3) and y=(-1,3,1

A: Topic:- 3D

Q: Let u= and v=. Give two vectors that are perpendicular to both u and v.

A: Consider the vectors

Q: Determine the angle that the vector [-1, -1] makes with the positive horizontal X-axis

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Q: Find a vector in component form that is perpendicular to the line 3x 4y = 6.

A: To find the vector in component form that is perpendicular to the given line.

Q: Determine if u = (4,3) and v = (1/2 , - 2/3) are orthogonal, parallel or neither.

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Q: Find u + v, u - v and 3u - 5v Then sketch each resultant vector u = (3, 6) v = (7,0)

A: Given data:- u=(u1, u2)=(3,6)v=(v1, v2)=(7,0) Find, u+v=?u-v=?3u-5v=?

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

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Q: t a = (3,3) and b = (4,1) draw and label the vectors a, b, -a and b - a on a set of coordinate axes.

A: Given vectors a=(3, 4) and b=(4, 1)

Q: Explain how to find a vector in the direction of the line segment from P0(x0, y0, z0) to P1(x1, y1,…

A: Initial point is P0x0, y0, z0 and the terminal point is P1x1, y1, z1.

Q: 1. Let Y = {(n) € 1¹ : x₁ - 3x2 = 0} and define g(x) = x₁ for all (n) € Y. Determine all the Hahn…

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Q: Let v=PQ, where P = (3, 5) and Q = (8,8). What is the head of the vector v' equivalent to v based at…

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Q: Write y as the sum of two orthogonal vectors, x1 in Span{u} and x2 orthogonal to u

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