Let u = {1, 0, 2}, v = {0, 1, 3} and w {1, 0, 1}, then

Q: = Let -3 -1 -~--~--~--~--~- , V3 -5 1 , V₂ 2 0 combination of V₁, V2 and V3. 5 -26 , V4 -9 -1 -3…

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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: Find the length of the vector x=x= |x|=|x|=

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Q: QI. Show that the vectors x, =(1,2,4), x, = (2,-1,3), x, (0,1,2) and x, =(-3,7,2) are linearly…

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Q: Consider the following. u = (-5, 5, 4) v = (0, 1, 6) Find u x v.

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Q: Let A = {j, z}, B = {1,5,7}. Each element is expressed as an ordered pair. ВХА3{ }

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Q: given u = and v= find u*v

A: To find out the dot product u*v

Q: Find a maximal set of linearly independent vectors out of the set {v1 = (1,2, 3, 4), v2 = (2, 3, 4,…

A: From given set of vectors we have to find maximal set of linearly independent factors. Concept: Let…

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

A: Addition and subtraction of two vectors: Add or subtract the necessary components to add or subtract…

Q: If ~v = 〈 4, 1, 6〉 and ~w = 〈3, 2, 3〉, find ~v · ~w and ~v × ~w.

A: If ~v = 〈 4, 1, 6〉 and ~w = 〈3, 2, 3〉, find ~v · ~w and ~v × ~w.

Q: Let å = (2,0, – 3) and b = (0, 1, 5). Find b x a.

A: Given query is to find indicated vector.

Q: Calculate v X w: v = (0, 6, 6), = (8, 7, 3) W

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Q: Let u = (1,4, 5), v = (-8, 2, 0), w = (3, 12, 17), which ones are orthogonal? u and v v and w u and…

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

A: u=1,2,3v=2,2,-1w=4,3,-42u+v-w+3z=0

Q: Find the cross product ax b: a=(2, – 1, 2), b=<0, 4, 5)

A: Given that: a=&lt;2, -1, 2&gt;b=&lt;0, 4, 5&gt;

Q: Express w as a linear combination of u and v. 1 [-] -8 u 5 w=u u+ (Type integers or fractions.) W =…

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