1 For what value(s) of h is the vector b = -3 in the span of the vectors V1 ,V2=

Q: If f(x, y) = 2x² + 5y? and u is the unit vector in the direction of , which of the following…

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Q: Find the angle 0 between the vectors a = (V3, –1) and b = (0,11).

A: Find angle between given vectors

Q: Q1/ If f(x,y)=find a unit vector u for which Duf (2,3) = 0 x+y

A: We have to find a unit vector u for which Duf(2,3)=0 where f(x,y)=yx+y

Q: For what value of t , if any, is the vector ( 2t, -1) parallel to the vector (4, -1) t = 2 OA t=8…

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Q: If v . w = 0, then the vectors v and w are________.

A: Lets two vector be v and w. v.w = v × w × cosθ Where theta is angle between v and w.

Q: If p (x, y, z) = x² + y? + z2, what is the unit vector in the direction of Vy (1, 2, 3? )undefined…

A: To find the unit vector in the direction of  ∇φ1,2,3, whereφx,y,z=x2+y2+z2

Q: find the acute angle between the given linesby using vectors parallel to the lines. 2 - x + 2y = 0,…

A: 2-x+2y = 0⇒2y = x-2⇒y = x-22⇒y = x2-1             --(1)So, vector parallel to (1) is a→ = 12i ,…

Q: The figure shows two vectors in the xy-plane with |u| = 3 and v = 4 Which of the following could be…

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Q: For what value of t, if any, is the vector (1, 4t) parallel to the vector (4, - 1) ? Not O A. 1 O B.…

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Q: 3. Given the vector ā = (x, y,=), where x = 0, y = 2 and z = 8 . Find the vector b with magnitude of…

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Q: or what value of t , if any, is the vector (2t, 1) parallel to the vector (4, -1) t =-2 DA. t = 2…

A: Given that vector 2t,1 paralle to the vector 4,-1find t

Q: 1. Compute the following for the vectors in R3, x [1 3 21T and y [40 1T y and y x (a) (b) 2 and y2…

A: From the given information, [1 3 –2]T and [4 0 –1]T.

Q: For what value of t , if any, is the vector (8t, 2) parallel to the vector (4, -1) ? 1 O A. t=- 4 В.…

A: Now we will find the value of t .

Q: For what value of t, if any, is the vector (4t, -1) parallel to the vector (4, -1) ?

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Q: For what value of t, if any, is the vector (2, -4t) paralel to the vector (4, -1) ? t O A -2 %3D 1…

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Q: Find the length of the curve with the given vector equation. r(t) = 2t 4 1 + 11t j+ 10t 4 k, -1 sts…

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Q: For what value of t , if any, is the vector (2t, 1) parallel to the vector (4, -1) ? Not OA. t = -8…

A: Given two vectors: (2t,1) & (4,-1) Since both vectors are parallel so the angle between then is…

Q: Find a vector perpendicular to the lines: 4₁: x = 3-4t y=-2-6t x = -1 + 2t y=4-t L₂: O O None of…

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Q: For what value of t , if any, is the vector (4t, -1) parallel to the vector (4, -1) ?

A: Given :4t,-1 and 4,-1

Q: Q2: Find the angle between the two vectors A = 5i - j+ 2k and B = -3i + 2j + k

A: Angle between the vector u and v is θ=cos-1u.vu.v.

Q: c) What is the cosine of the angle between the planes x + 2y – z + 1 = 0, and -x+ 3z + 1= 0? d) Find…

A: We'll answer the first question since the exact one wasn't specified. Please submit a new question…

Q: For what value of t, if any, is the vector ( 2t, -1) parallel to the vector (4, -1) ? 1 t = 4 OA. t=…

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Q: Given the vectors vi = (1,1, –1), v2 = (1,2,3) and v3 = (0,1,1). S = { v1, v2, v3} set R3 does it…

A: 3 vectors span R³ if they are linearly Independent. Vectors are linearly Independent if their…

Q: Let L be the line 8x + 2 in R?. Find vectors a and b so that v a + tb with t ER is also a correct…

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Q: For what value of t , if any, is the vector (4t, -1) parallel to the vector (4, -1) ? OAt=1 OB. t= 2…

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Q: If v.w 0, then the vectors v and w are

A: We know that two vectors u and v are said to be orthogonal if u . v = 0.

Q: Compute the length of the given vector. (t) = 2t + 7 and q(t) = 7t - 5, where to = 0, t₁ = 1, t₂ = 2

A: We have to find the length of the given vectors.

Q: Find the magnitude of the vector a and the smallest positive angle 0 from the positive x-axis to the…

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Q: Which of the following vectors are equal to j × i?(a) i × k

A: We know that, i×j=k Therefore, j×i=-k Hence the answer.

Q: Given the vectors a=(-1,5,-4) and b=(2,-7,2) find the vectors x € R3 , with magnitude v371 and…

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Q: For what value of t , if any, is the vector ( 2t, -1) parallel to the vector (4, -1) t= 2 OA. No t…

A: Solution: The objective is to find the value of t

Q: If f(x, y) = 2x² + 5y? and u is the unit vector in the direction of *, which of the following…

A: Given fx, y=2x2+5y2   Direction of unit vector θ=π6

Q: 1 (b) Find the span of vectors i = |0 and j = |1 in R3

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Q: If a, b, and c are constant vectors, r is the position vector zi+ yj+ zk, and Eis given by the…

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Q: For what value of t, if any, is the vector (4t, -1) parallel to the vector (4, -1)

A: G

Q: Q1.A. For the figure shown below, at what condition the vectors X and Y are orthogonal B -B 1 1

A: Vectors

Q: For what value of t , if any, is the vector (2, 4t) parallel to the vector (4, -1) ? 1 No t OB. Oct…

A: Using the condition of parallel vectors to find value of t.

Q: For what values of t and s does the equality (- (2t + 2), 3s + t) = (2s + 4t, 7t – 4) hold true? t =…

A: see below the answer and calculation Equating both sides means the components are equal

Q: For what value of t, if any, is the vector parallel to the vector (4, -1) Not t = -8 B -2 Oc. t = OD…

A: If any two vectors u and v are parallel then u=s·v where s is any scalar. The vectors 12t, 1 and 4,…

Q: given the vectors from R, (-5 0 3) belongs to span{v,, V2, V3}. Select one: O True O False

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Q: 1. Find the angle that the vector V = makes with the positive x axis.

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Q: Given the vectors v = 3i-8j and w =6i-j, find v W.

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Q: For the given vectors v and w find: (a) v + 2w (b) 3v – w (c) 2v 3 - -w + u 2

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Q: For what value of "c" are the following vectors perpendicular? 3 (2, с, 9) аnd ў 3 (Зс, —1,5) (Зс, —…

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Q: Q3/the parallelogram is determined but the vectors KL = and KN =, so the area of parallelogram KLMN…

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Q: For what value of t , if any, is the vector (2, -4t) parallel to the vector (4, -1) No t O A. 1 %3D…

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Q: Consider the lines 3 - z x – 5 l1 : 2 and I. Find two unit vectors that are parallel to l1.

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Q: Find the angle a between the vectors L3] and]

A: Find the angle between vector s

Q: Consider the vectors H [0] H . If I is the line defined by the vector w₁, fi W1 = [o] W2

A: Here, in the question three vectors are given:  w1, w2, b  L is the line defined by the vector w1 We…

Q: Q5. Find the angle between the vectors u=2i+j, v=i+2j-k. And uxv

A: Please see the below picture for detailed solution.