Let v1= 2, 5 , 3 ), v, = ( 1 , 1, 1 ) and va = (4, -2 , 0 ) are vectors in R3 then are .a Linear dependent .b Linear independent

Q: Set û= and w= Write as a linear combination of these two vectors For the toolbar, press ALT+F10 (PC)…

A: HHere C1 nad C2 are scalars

Q: Let V₁, V2, V3 be linearly independent vectors in R". Show that {v₁ + V₂, V₂ + V3, V3 + ₁} is also…

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Q: Determine if vectors (4, 2, 3)T, (2, 3, 1)ª and (2, −5, 3)T are linearly dependent.

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

Q: at vectors （c1 - a1, c2 - a2）and （b1-a1,b2-a2）are linearly depend

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Q: Is every vector in R2 a linear combination of the vectors (1,-2) and (-2,1)? Provide a detailed…

A: Let (a,b) ∈ R2 , We write the (a,b) is the linear combination of the given vector (1,-2) and (-2,1)

Q: Write each vector as a linear combination of the vectors in S. (Use s, and s2, respectively, for the…

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Q: Are the vectors V₁ = 2 1 1 V₂ = 1₂V3 3 4 1 linearly independent? -9

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Q: Find all values of c for which the vector v₁ = (1, 0, 0, c), v₂ = (0, c, 0, 1), V3 = (0, 0, 8, 8),…

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Q: Find all vectors (x,y,z) that are orthogonal to the vectors (1,2,3) and (4,5,6). Find the vector in…

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Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.