3. 4. If =(-12, 4, 8) the position vector of u is.............

Q: Suppose that i and v are vectors in R". If ū · ū = 4 and ||v|| = 9, then || 18

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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: 2) L is the line passing through points (0, 0, 0) and (1, 1,1). M is the line passing through (2, 3,…

A: Direction vector of the first line is = (1,1,1)-(0,0,0)= (1,1,1) So the equation of the first line…

Q: 2.) Wrile pach vector below of the vectors in s.Cif possible), 0s a linear combination 5=d…

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Q: 5. (a) Given A = a,5-ay2 + a₂, find the expression of a unit vector of B such that B/A and BL A, if…

A: Solution 5(a): Given that A→=5ax-2ay+az and  B→∥A→ if B→ lies in the xy-plane. So, B→=5bx-2by. Unit…

Q: 5. Express u = (-4, 3, —2) using the unit vectors.

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Q: 8. Determine the dot product of u = [7,-4.1] and v = [3.-2.2].

A: Dot product is also known as the scalar product.

Q: 39. For each condition, find unit vectors å and b or explain why no such vectors exist. (a) |a+헤-0…

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Q: Let S = {(0,1,0), (,0, ), (, 0, )}. The %3D set S is an orthonomal set of vectors. If u = (2, 2, 1),…

A: see below the answer  here we use the system of equation to find (u)S

Q: 11. Given vector u = (2, a, 3), vector v = (1, -3, b) and u x v = (13, -5, -7). Find a and b.

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Q: 1] Determine whether the first vector is a linear combination of the other vectors. (c) (-1, 15);…

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Q: 19. Which of the vectors (A)–(C) in Figure 22 is equivalent to v – w? (A) (B) (C) FIGURE 22

A: The vectors substraction: (v-w)

Q: Which of the following vectors is/not perpendicular to the line whose direction vector is (2,-3,5)?…

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Q: What if the vector v was [ 7, 11, 3]

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Q: If u=(2,4)�=(2,4)  and v=(3,−4)�=(3,−4)  then proju(v)≈

A: The objective of this question is to find the projection of vector v onto vector u. The projection…

Q: 6 2 Show that it is vectors are lineas dependent line or independent.

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Q: 19. For two non – zero vectors ā' and b,if ||a' + || = ||a'||, then which of the following is…

A: Given : For two non-zero vectors a→ and b→,  ||a→+b→||=||a→|| Use the property ||a→||2=a→.a→

Q: 27. Determine the area of the parallelogram formed by the vectors u=[3,-2,5] and v=[-1,4,2].

A: Step 1:

Q: The normal vector of 2x + By - 16.7z = -8 is: ○ [2, 뮤, -16.7, 8) ① [호, 꽃, 16.7, -8] ① [올, 꽃, -16.7]…

A: We have given equation of a plane  92x+133y-16.7z=-8 Comparing this with the equation  lx+my+nz=d We…

Q: 11. For what value(s) of r (if any) is the vector (-2, 14, r) a linear combination of the vectors…

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Q: Which of the following is a direction vector for the line through А (3, — 2) and В (1, 2)? Select…

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Q: Find u v. = (9, 2) v 3 (-8, 4) V: U V D

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Q: Let j TE 2 --- = 1 and u = = Write y as the sum of two orthogonal vectors, #₁ in Span{u} and 2…

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Q: 5. For which value of x do the following vectors form a linearly dependent set in ¹ X₂ G

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Q: a. From the set of vectors{ (1, 2, –1). (-4, –5, –6), (4, 3, 10). (5, –3,2)}. select two pairs of…

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Q: :) What is a 2b2+|a.b|²? Let a = 0 and b = -2 0 2 be two vectors.

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Q: 6. Let a = (1, 0, 3) and u = = (2,-1,5). ) Evaluate projau. Find a vector that is orthogonal to…

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