Let a = (-3, –4, –4) and b = (2, 2, 4) . Find scalars s and t so that sa + tb = (20, 4, 32) %3D %3D

Q: Then w is an element of W. Write w in parametric vector form. - 14 1 (c, d in R) ession found for w…

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Q: Q) Let û = 2745, Vz+3 , and w=T-5 find Scalars a and b such that u - av + bw

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Q: Find the image of the vector (1, 1, 1) for the given rotation. 60° about the z-axis

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Q: Find the parametric equation of the line through a parallel to b, using t as the parameter. - 1 - 4…

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Q: Find the scalar a nd b such that v = au + bw where v = 4,3 ; u = 2,5 and w = 1,4 PLEASE SHOW STEP BY…

A: Answer and explanation is given below..

Q: Let x and y be vectors in the R³. Suppose that x is a scalar product of 2 and the vector y. Prove…

A: x and y are vector in R3, x is scalar or dot product of 2 and y vector,  it means x = 2.y,

Q: Let u = 2i - j, v = 3i + j, and w = i + 4j. Find the specified scalar (5v) . w

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Q: Q3: A given vectors r, = 2i - j+k, r=i+3j-2k, r, =-2i +j-3k and r=3i+2j+5k find scalars a, b and c…

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Q: Masses of 3 kg, 1 kg and 5 kg are located at points with co-ordinates (1,2). respectively.

A: Please refer to the image below

Q: 1-If č=ÅxỂ where Ã= 3L- 4J and B= -21 + 3k what is C? 2- Find the scalar nroduct i E of the two

A: Note: " Since you have posted multiple question. As per our guidelines we are supposed to solve one…

Q: Let v = i - 5j and w = -2i + 7j. Find the specified vector or scalar 6v - 3w.

A: We plug v = i - 5j and w = -2i + 7j in 6v - 3w. 6v-3w=6(i-5j)-3(-2i+7j)=6i-30j+6i-21j=12i-51j

Q: Let a= and b= Show that there are scalars s and t so that sa+tb=. s = ? t = ?

A: a=-5,0,-3 and b=4,0,2sa+tb=27,0,15

Q: nd the orthogonal trajectories of the family of confocal central conics given as: = 1 a² + à b² + à

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Q: find all the scalars k such that || kv || = 3, Where v = (-1, 2, 0, 3)

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Q: Let u = 2i - j, v = 3i + j, and w = i + 4j. Find the specified scalar 5(v . w)

A: Given vectors are: u=2i-jv=3i+j and, w=i+4j We have to find the value of 5v.w Here we have to use…

Q: Consider vectors a = (2, -8), b = (-1, 4), andc = 0. Determine the non-zero scalars a and B such…

A: Consider vectors a=(2,-8) , b=(-1,4) and c=0. We have to determine the non-zero scalars alpha and…

Q: Let a = and b =. Show that there are scalars and t so that sa + tb =. You might want to sketch the…

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Q: let u =8i-4j, v=i-j, w=i+j. Find the scalars a and b such that u = av +bw

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Q: Violet now comments that there are scalars a and B such that di DE = a EF × EG = B GF x GD State the…

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Q: Find the parametric equation of the line through a parallel to b, using t as the parameter. 2 b = -7…

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Q: Find the parametric equation of the line through a parallel to b, usingt as the parameter. -5 a = b=…

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

Q: Let u = 2i - j, v = 3i + j, and w = i + 4j.Find specified scalar 4(u . v).

A: it is given that, u = 2i - j, v = 3i + j, and w = i + 4j

Q: let v =〈−2, 5〉and w =〈3, −2〉. Find a scalar α such that ||v + αw|| = 6.

A: Given, v=-2, 5w=3, -22

Q: Let u = 2i - j, v = 3i + j, and w = i + 4j. Find the specified scalar 4(u.v)

A: Given that u = 2i - j,   v = 3i + j  and  w = i + 4j. Obtain 4u·v as follows.

Q: Find a scalar equation for the plane that contains the points P, Q and R

A: We know that equation of plane passing through three points A(x1,y1,z1),B(x2,y2,z2), C(x3,y3,z3)  is…

Q: In R, evaluate the alternating 2-form 5 = -3 · dx A dy on the pair of vectors (a, b) if a = (4, 2,…

A: In ℝ3, we have to evaluate the alternating 2-form ξ=-3·dx∧dy on the pair of vectors (a,b). a=4,2,12…

Q: Write the Rodrigues vector and the quaternion corresponding to the rotation matrix - cos(T/3)…

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Q: Suppose A = 4i-6j, B = i + 7j, and C = 9i - 5j. Then the scalars h and k such that A = hB+ kC are…

A: Topic = Vector

Q: Suppose A = 4i − 6j, B = i + 7j and C = 9i − 5j. Find (a) scalar projection of A onto B (b)…

A: We know that The scalar projection of A on B is  A.B|B| vector projection of C onto A is A.C|A|2A

Q: Let u = 7i- 3j, v= i-j, and w= i+j. Find scalars a and b such that u = av + bw. a = b=

A: We will find a and b

Q: H.W 5- Determine a scalar k so that A = 3i +kj and B =-i +9j are parallel.

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Q: ..) Find a vector ğ so that if F{f} = (co, C, C2, C3) then Ff ® ğ = (co, 0, 3c2, 0). %3D 160

A: The objective is to find the vector g so that is F(f)=(c0,c1,c2,c3) Then, Ff⊙g=(c0,0,3c2,0) It is…

Q: Find the parametric equation of the line through a parallel to b, using t as the parameter. - 6 - 4…

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Q: Let a E R and let A e M2,2(R) be such that CO a sin a A = sin a cO a - a) Is it true that A is…

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Q: Plot a 3D graph if the values of t were (t-0.01:0.1:30*pi), and the three vectors of x = cos(t), y =…

A: In matlab use the given below t=[0.01,0.1,30*pi] X=cos(t); Y=sin(t); Z=t.^3; Plot(t,X,t,Y,t,Z)…

Q: Let a = (5, 4) and b = (1, –5). Show that there are scalars s and t so that sa + tb = (-13,-22) You…

A: Given, Let a=5,4,b=1,-5 And sa+tb=-13,-22

Q: Let u = 2i - j, v = 3i + j, and w = i + 4j.Find specified scalar (4u) . v.

A: The vector are given as, u=2i-j , v=3i+j and w=i+4j. To find: the value of 4u.v Solution: The value…

Q: Let u = 2i + j, v = i + j, and w = i - j. Find scalars a and b such that u = av +bw.

A: Given u = 2i + j, v = i + j, and w = i - j.Plug them in the equation u = av +bw.

Q: Find the canonical form for the following 2nd order surface 2. (22 + y,+ ) +5 (ay+ az+ yz) +-…

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Q: o Let ã = (5,-2,-2) and 5= (-3, -3,0) ニ Show there ane scalars s and t so that -> sá + tb = -…

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Q: In R, evaluate the alternating 2-form 5 = -3· dx A dy on the pair of vectors (a, b) if a = (4, 2,…

A: Given that, ξ=-3.dx∧dy on (a,b) Where a=(4,2,12),b=(-7,-4,8) The objective is to show that ξ(a,b).

Q: If possible, find scalars c1, c2, and c3 so that

A: Consider the equation: c112-3+c2-111+c3-14-1=2-23……1

Q: Let u = 8i + 2j, v=i+j, and w =i-j. Find scalars a and b such that u = av + bw. a = b =

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Q: Let 0. j =| 1 and k=|0 r Find scalars c1, c2, and c3 so that any vector u = t can be written as u =…

A: Given, u=rst,  i=100,  j=010  &  k=001

Q: If possible, find scalars c1, c2, and c3, not all zero, so that

A: c112-1+c213-2+c337-4=000c12c1-c1+c23c2-2c2+3c37c3-4c3…

Q: Let u = 2i - j, v = 4i + j, and w = i + 7j. Find the specified scalar. u•v+u•w

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Q: Let u = 2i - j, v = 3i + j, and w = i + 4j.Find specified scalar 5(v . w).

A: Since, we have been given that:-u=2i-jv=3i+jand w=i+4jOur Aim is to find the specified scalar…

Q: Let a = and b =. Show that there are scalars s and t so that sa + tb =. You might want to sketch the…

A: a=-2, -1, 0b=-4, 1, 3sa+tb=s-2, -1, 0+t-4, 1, 3=2, 4, 3-2s-4t=-2s+2t=1 ...(1)-s+t=4 ...(2)3t=3…

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.