Decompose v into two vectors, v, and v,, where v, is parallel to w and v, is orthogonal to w. v= -i-j, w=i-2j ..... v1 = (Oi+ (Oi v2 = %3D (Simplify your answer.)

Q: Express the vector t as a linear combination of the vectors u, v, and w. 1 2 2 t = v = - 4 - 4 u= 14…

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Q: Express the vector u = (1,-8,0) as linear combination of the vectors u, =(4,5,0) and u, = (7,6,0)…

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Q: Express the vector t as a linear combination of the vectors u, v, and w. 1 - 2 4 t = 0 , u = 5 , v =…

A: We use the definition of the linear combination of vectors to answer the given question.

Q: Find the equations of the traces in the coordinate planes and sketch them z = x2 +9y2

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Q: 14 (a) Find x. . Show your work. (b) State whether the components of uxvwill be positive, negative,…

A: Topic - vectors

Q: Find the triple scalar product (u xv). w of the given vectors. u= -5i - 3j+ 4k v=5i - 8j + 4k…

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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: Draw a picture of the following vectors, then calculate them algebraically. Make sure you label the…

A: Given: The three vectors:Vector Vector Vector Aim: Draw a picture of the vectors and  on a…

Q: Define irrotational vector. Is the vector A =(6xy+z³)i+(3x² - 2)j+(3xz² – y)k irrotational? Justify…

A: we have the vector A=(6xy+z3)i+(3x2-z)j+(3xz2-y)k we have to check weather the given vector is…

Q: Preform the indicated Operations for the given vectors. v= w= s= r= s+w

A: for the addition of the two vectors we add the respective components of given vectors. i.e,…

Q: Find the triple scalar product (u xv). w of the given vectors. u= -51-3j+4k v=8i-10j + 2k w=31-6j-7k

A: The given vectors are u=-5i-3j+4k, v=8i-10j+2k and w=3i-6j-7k. We have to find the value of the…

Q: Find x so that the vectors u and v below are perpendicular. 0 -7 u= 7 44 V= x -4 -7 x=0

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Q: Express the vector t as a linear combination of the vectors u, v, and w. 0. -2 t3D -5 W = 24 1 t= u+…

A: By Compearing the entries i have solves the problem

Q: Find the angle between the vectors a = 77 +37 +27 and 7 = 27-7+ k.

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Q: Among the following vector pairs shown below choose an orthogonal pair. u = (1, -1, -1) and 7 = (2,…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Preform the indicated Operations for the given vectors. v= w= s= r= 3(v+2w)-s

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Q: Given an initial point A(4,7,4) and terminal point B(-7,8,-2). Find the component form of the vector…

A: Given an initial point A(4, 7, 4) and the terminal point B(-7, 8, -2).

Q: Find the cross products u xv and vxu for the the vectors u = 2i-j-2k and v= i +3j - 3k. U XV= i+ j+k…

A: (.) Given vectors are,      (.) Corss product of two vectors  and   is given by,           &…

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: Determine whether the vectors AB and PQ are equal to each other.

A: Solution of the problem as follows

Q: Determine the scalars K and S that make the vector u a linear combination of the vectors v and w.…

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