Exercise 8. Let u = (0, 1,2,0), and w = (1, 1,2,0). Then the distance between u and w is: a. 3 b. 2 c. I d. None of the mentioned

Q: The distance from (6, 8, 11) to the yz-plane is: A. 10 OB. 7 O C. 5 O D. 6

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Q: For what values of h, b is in Span {v1,V2, V3} where 5 -4|, v3: %= 4 ,V2= 7

A: First we transfer this problem into a matrix then apply row reduction.

Q: Find the distance d(u, v) between u and v in the given Fig.

A: To Determine:  Find the distance d(u, v) between u and v . Given: we have u=-12,v=31 Explanation: we…

Q: Given =16,-2,k) and V=14,-4, 0]. Determine the value(s) of k if the angle between ü and v is 60°.

A: We will find the possible values of K as shown below

Q: Find angle = [0,] between the lines z = 2 + 3t, y=4-t, z=3+2t and x=1-8,y=5+28, z=6+38. Lütfen…

A: The angle between the lines x=2+3t,y=4-t,z=3+2t and x=1-s,y=5+2s,z=6+3s is to be determined.

Q: Let vi = 2 v3 2 and u = If u e Span(v), v2, v3) then the value of r is a) 8 b) 7 c) 6 d) 5 e) 4.

A: We use the definition of the span of a set of vectors to find the value of x.

Q: The midpoint of AB is at (5, 0). If A = (4, 3), find B. B is:(

A: Consider the given information.

Q: LG, CF, and AU are concurrent.

A: According to the question, To show that LG, CF, and AU are concurrent, we will use the theorem…

Q: 2. If B is the midpoint of AC, which of the, following must be true? I. АВ + ВС 3D АС II. 2ВС - АС…

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Q: s25.) Let L be the line 2x + 4y = 8, and let P be the point (3, 4). The points Q(0,2) and R(2,1) lie…

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Q: Find the distance from the point (3,-1, 4) to the line a = 4 – t, y = 3 + 2t, z = -5+ 3t.

A: Given: point 3,-1,4 and equation of line x=4-t, y=3+2t, z=-5+3t Formula: The distance between point…

Q: Find the projection of v

A: Here v→=2i^-2j^    and w→=-3i^+j^

Q: Lets vectors V and U be such that |v|=3 and |u|= 4. the angle between v and u is 30 degrees. find…

A: Given: u→=4    and   v→=3 Angle between vectors u and v is: 30°

Q: 1. Let u = (1,2,3) and v= (1, x, 0) and w= (0,1,0). a. Find ||u + w||. b. Find (u, u + w) + ||u||.…

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Q: Let v = (a, b, c). Calculate v × i, v × j, and v × k.

A: given: v=a,b,c we have to calculate v×i, v×j and v×k

Q: Find the length and direction (when defined) of u x v. When : u = 2i +2j -k; v = -i + k;

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Q: Suppose v = (2, 5, 4), |w| = 3 and the angle between v and w is 30◦ (a) Find v · w (b) Find compvw…

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Q: Let U₁= - 3. For what value of h is j in the plane spanned by ₁ and ₂? h V₂ = -9 [18] ý 11 -

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Q: The distance between the points P(0, 0,4) and Q(7,6, 8) is V102 Select one: True False

A: According to question,Given points,P0, 0, 4 and Q7, 6, 8

Q: For the following, let u = (3, –6) and v = (2, 1) %3D a. Find u + 3v b. Find the angle between the…

A: Hey, since there are multiple sub-parts posted, we will answer first three sub-parts. If you want…

Q: Are these points collinear? а) А(-2, 5), В(0, 2), and C(4, — 4) b) D(-1, — 1), Е(2, — 2), and F(5,…

A: (a)       A-2,5, B0,2, C4,-4      AB=-2-02+5-32      =4+4      =22BC=0-42+2--42      =16+36…

Q: Let u = (-3, 2) and v = (6, –2). a) Find u – 3v. b) Find Ju + v|. c) Find u· v. d) Are u and v…

A: NOTE: Refresh your page if you can't see any equations. . .

Q: 3. For the following, determine i. ii. the distance between u and v whether u and v make an acute…

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Q: Determine the parts that describes the following: 1) Segment KG 2) Line FH 3) Segment KH 4) Point E…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…