Let u = (-3, 1, 7), v = (3,0, -6), and w = (6, -1, –3) Find the components of v – w. (-4, 1, 3) V - W =

Q: Write the vector (2, –3) as a linear combination of (2, –1), (–1,2) Select one: O 2/5(2, –1) +…

A: We need to find the linear combination of the given vector. NOTE - all the options given are wrong.…

Q: Calculate v x w: v = (5,6,2), V X W W = (5, 4, 7)

A: Step 1: Step 2: Step 3: Step 4:

Q: Let u = , v = , and w = . find uw

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Q: Which of the following points is collinear? a. (1, 2), (5, 3), (1,-2), and (2, 0) b. (0, 4), (1, 3),…

A: Solved below

Q: Find the cross product a × b. a = (6, 5, -4), b =(2, -1, 1) Verify that it is orthogonal to both a…

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Q: Express the following as a linear combination of u = (6, 1, 7), v = (1, -1, 4) and w = (1, 8, 7).…

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Q: (c) Determine whether the set R², with the operations (x₁, y₁) + (x₂, y/₂) = (x,,0) and c(x, y) =…

A: Let V be the vector space if  1 If u,v∈V  then u+v ∈V 2.  u+v=v+u 3. (u+v)+w=u+(v+w) 4. Identity…

Q: Find each vector sum u + v. a. u = (1, 4), v = (2, −2) b. u = (3, −2), v = (−3, 2) c. u = (2, 1), v…

A: a). b).

Q: Let U=(-4, 3, 3) and V=(2, 1, 1). Find (2U+V), *. | (then find | (2U+V

A: Find 2U+V and it's magnitude.

Q: Which of the following sets of vectors are linearly independent? A. (4, 8,-5), (-9, -4, -6), (-13,…

A: "Since you have posted a question with multiple subparts, we will solve the first three subparts for…

Q: Calculate v × w, where v = (−2, 1, 4) and w = (3, 2, 5).

A: Given: v = (−2, 1, 4) and w = (3, 2, 5)

Q: Let u = (1, 2, 3), v = (4, 4, -2), and w = (6, -1, -2). Find z, where 2u + v – w + 3z = 0. z =

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Q: Find an expression for the exact angle 0 between u and v when = (4,7) and v = (-5, 8). (3, –1, 1)…

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Q: Can we write v = (1,5,4) as a linear combination of u = (1,3, -2), uz = (2,7,-1), ug = (1,6,7) ?

A: If there exist a,b,c∈ℝ such that au1+bu2+cu3=v then we can say  v as a linear combination of u1,u2…

Q: Find u · v, u · u, ||v||². (u - v)v, and u · (3v). u = (3, 12), v = (-2, 3) (a) u. v (b) u.u (c)…

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Q: Find u (vx w). =(5, 5, 5) v = (1, 9, 0) w = (0, 0, 4) U =

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Q: Determine if u = (0,3, -4) and v = (1, -8, -6) are orthogonal, parallel or neither.

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Q: Express the following as a linear combination of u (2, 1, 5), v (1,-1, 4) and w = (6, 8, 6). (9, 14,…

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Q: Find a and b such that v = au + bw, where u = (1, 2) and w = (1, -1). v = (9, 3) a = b =

A: This question is based on vector form.

Q: Find u - v, 2(u + 3v), and 2v - u. u = (2, 0, -8, 3), v = (0, 7, 3, 2) (a) u - v = (b) 2(u + 3v):…

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Q: Find u•v, V•V, ||u||^2, (u•v)v, and u. (5v). u=(2,0,-3,4), v=(0,5,4,5)

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Q: Find w such that 2u + v u 3w = 0. (0, 2, 7, 5), v = (-8, 4, -3, 1) 1 -- (-) W = 3 -

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