Find the angle between the vectors. (First find an exact expression and then approximate to the nearest degree.) (7, 4), (3, –1) 48.179 exact approximate 48.18

Q: 81. Given r = (-3, 4) and s = a. Find the product ||r|||s||. (9. – 12). b. Find r· s. c. Based on…

A: Given:r=-3,4 and s=9,-12Formula:u=u.u

Q: a) Determine the magnitude of a vector perpendicular to both n1⇀ =(-3,1,0) n2⇀ =(1,5,2) b) Describe…

A: The given vectors aren1→=-3,1,0= -3 i+1 j+0 kn2→=1,5,2=1 i+5 j+2 k

Q: Find the vectors T, N, and B at the given point. r(t) =   2 cos(t), 2 sin(t), 2 ln(cos(t))  ,    (2,…

A: given r(t)=<2 cos(t), 2 sin(t), 2 ln(cos(t))> and point (2,0,0)

Q: I. For the given vectors ū and i , find the value of ū ·ð and normalize 1. и %3D (2,7,—1,20), 2. ū =…

A: 1. Given that u→=2,7,-1,20 and v→=3,-1,9,-10 u→.v→=2,7,-1,20.3,-1,9,-10=6,-7,-9,-200…

Q: (c) Give an example of a linear combination that resulted in the zero vector that did NOT have O's…

A: We need to give an example of vectors whose sum with some non zero weights equate to zero. This can…

Q: Find the vectors T, N, and B at the given point. r(t) =   (4, 16/3, 2)

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Q: Determine which of the vectors is (are) parallel to z. Use a graphing utility to confirm your…

A: We are asked to find which vector is parallel to z

Q: (c) Give an example of a linear combination that resulted in the zero vector that did NOT have O's…

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Q: Find the value(s) of h for which the vectors are linearly dependent. Justify your answer. 3 - 6 -3 -…

A: NOTE: Refresh your page if you can't see any equations. . write all 3 vectors in the matrix

Q: 55. If A is a constant vector, prove V(r A) = A.

A: The del of the given dot product is given as follows :

Q: Q2: Find the vector and unit vector (u) in the direction of the vector P2 = (-3,0, 6) to P, = (4, 6,…

A: Let us consider the vector P=(a,b,c) and Q=x,y,z. The vector in the direction of P to Q is obtained…

Q: 2. Suppose that you have a circular clock of radius 1, and 12 vectors are placed so that their tails…

A: Given that a circular clock of radius 1 and 12 vectors are placed such that their tails are at the…

Q: [a] answer. [b] Consider the set S of vectors 5-GIGILD S = = 1 Does S span R³? Justify your Does the…

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Q: TRIANGLE METHOD: 600 NON and 8 =35 m 3 1. Given two vectors A = 70 m 60° N of E and B = 35 m 30° S…

A: I am attaching image so that you understand each and every step.

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: response. Justlfy_your ans 1 1 -1 is a linear combination of the vectors y, 2 Show whether or not…

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Q: Add the vectors E = , F=, G .

A:

Q: I. For the given vectors i and v , find the value of u · v and normalize = (3,–1,9, –10) 2. й 3D…

A: 1. Given u→ = (2, 7, -1, 20)v→ = (3, -1, 9, -10)Sou→.v→ = (2, 7, -1, 20)·(3, -1, 9, -10)        = 6…

Q: Q1. Find the distance between the points A (-1, 3, 7) and B (2, -1, 6). Q2. Find the angle between…

A: 1. Find the distance between the points A-1,3,7 and B2,-1,6. 2. Find the angle between the vectors…

Q: Find values of h for which the vectors are linearly dependent. Justify your answer. 3 7.

A: Let v1=1-14, v2=3-57, v3=-15h

Q: Vector A is 2.80 cm long and is 60.0° above the x-axis in the first quadrant. Vector B is 1.90 cm…

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Q: 1. What do the two vectors equal to? 12 20 %3D + 2. What do the two vectors equal to? + 10 %3D 3.…

A: Concept: If two vector having same direction then can simply add. If two vector having opposite…

Q: Find the sum b of the vectors a (shown as blue solid) and b (shown as red dotted) given on the…

A: Here we have to find the sum of a+b by using the given figure.

Q: Find the magnitude of the vector v whose initial point is P(2, 0) and terminal point is Q(1, – 5).…

A: Proceed as shown

Q: Exer. 1–8: Find (a) the dot product of the two vectors and (b) the angle between the two vectors. 1…

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Q: 1. The vertices of a triangle are located at A(4,1, –3), B(-2,5,4) and C(0, 1, 6). Using vector…

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Q: To normalize x = (7,3) and obtain a unit vector in the same direction, what do you divide by?…

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Q: Find the direction angle of the vector u =-4i+5j. That is, find the angle between 0° and 360° that u…

A: our objective is to find the angle.

Q: Q8) The vector of length 6 units and normal to the plane: 2x + y - 2z = 6 is

A: We need to find a vector that is normal to the given plane having a length of 6 units. Now, We know…

Q: na the coordinates of a point P on th line and a vector parallel to the lihe. x - 2 - y + 5 = z + 4…

A: Given query is to find the coordinates of the point p and vector v.

Q: erpendicular to the given vectors and find a unit vector with a positive j compon

A: To find a unit vector whose j component is positive and perpendicular to below two vectors.…

Q: Determine all vectors v that are orthogonal to u. (Set v₁ u = (6, 1, 0) V = Need Help? Read It Watch…

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Q: Find the value(s) of h for which the vectors are linearly dependent. Justify your answer. - 4 - 3 -2…

A: The value of h which makes the vectors linearly dependent is, 6  Because this will cause ??? to be a…

Q: The vectors below are adjacent sides of a parallelogram with area square root of 195 square units.…

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Q: Find the vectors T, N, and B at the given point. r(t) = ,   (1, (-2/3), -1)

A: we have  r(t) = < t2, 23t3, t >,   (1, (-2/3), -1)

Q: Find the angle between the vectors. (First find an exact expression and then approximate to the…

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Q: Draw vectors from the preimage points to the image points. What is the horizontal component? What is…

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Q: QI) Find the area of a triangle formed c't 2j-k. from- the two vectors a= e = 2i-j+uk.

A: Given two vectors are  a⏞=i+2j-kb⏞=2i-j+4k

Q: (c) Give an example of a linear combination that resulted in the zero vector that did NOT have O's…

A: Consider the vectors x1→=11, x2→=33 Consider two weighs c1, c2 such that c1x1+c2x2=0. Substitute the…

Q: 2 üz Use the vectors above to compute You must simplify your answer.

A: Given query is to perform indicated vector operation.

Q: estion 9 For what values of the following vectors a do 3. in R ? form dependent a V1 = (a, 0, 0),…

A: There is a relation between matrix and linearly independent depended vectors. n×n matrix A is…

Q: Q2 Let ủ and v be two orthogonal unit vectors in R³. We have a triangle ABC in R³ such that AB = 2ü…

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Q: Find vectors that satisfy the given conditions: 1. The vector in the opposite direction to u = (1,…

A: As per guidelines we have to solve the 1st one

Q: 3 ā = |k|,b= |2 -1,c= |k %3D For what values of k do ā, b and č span all of R³? Give a sentence (or…

A: We have to find the values of k such that a→,b→,c→ span all of R3.

Q: Q2: Find the vector and unit vector (u) in the direction of the vector P2 (-3,0,6) to P1 = (4, 6, –…

A: We have to find the vector and the unit vector(u) in the direction of the vector P2=(-3, 0, 6) to…

Q: Esing the method Dot vectors product, find the equation in xy plane through the nt (3, 5) and…

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Q: 32. Find the vectors whose lengths and directions are given. Try to d the calculations without…

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Q: Q4) 1- Find the area of the triangle determined by the point P(1, -1, 2), Q(2, 0, -1), and R(0, 2,…

A: