Find a non-zero vector 7 perpendicular to the vector u 12 [3]. -6

Q: The projection of the vector 5î + 5ĵ – 5k onto the vector –4î + 2ĵ – 4k. | |

A: We have to find out

Q: For any two non-zero, non-parallel vectors ā and b, the vectors ā x b and (2ā + b) x (ā – b) are…

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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: 13. Write the reduced echelon form of a 3 x 3 matrix A such that the first two columns of A are…

A: 13. Given that A3-21=000. We have to find a 3×3 matrix Athat has first two columns of A are pivot…

Q: 18 as a linear combination of a and y Express the vector v y.

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Q: Q11: Let vector v = (-7, 5) and vector w=(2, 2). Write vector v as the sum of two orthogonal…

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Q: -54 ) Express the vector i and y -5 as a linear combination of a = 4 y.

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Q: Find the stable vector of 7 P = 2/7 M5 iii

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Q: |3s + 3t Let W be the set of all vectors of the form 3s - 4t. Find vectors u and v in R³ such that…

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Q: Let v1 = v2 = 3 v3 = Are the vectors v1, v2 and vz linearly independent? linearly dependent If the…

A: Vectors v1, v2, v3 are linearly dependent if C1v1+c2v2+c3v3 =0 implies atleast one Ci is non…

Q: Let the vector be x = (5,6), determine its coordinates relative to the base B = {(1,1),(-1,2)}}

A: Introduction: When a basis is provided, one can represent a vector belonging to the precise vector…

Q: c) Show that vector ū = 1 cannot be expressed as a linear combination of 2 in R3 3 vectors vi 1 and…

A: we have to show that , we can not write as a linear combination of vectors v1 and v2

Q: -1 X1 Let v = Find a vector x = x2 such that 3v +x = |2|

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Q: If a = (4, 0, -1), find a vector b such that comp₂b = 3. b = X

A: a=<4,0,-1>ab=3ab=a→.b→a→let b=<b1,b2,b3>