Suppose p= 5x?+2x +3o figure out the coor olicuate relative to the follewing basis for 29 pi =i, Pz =1tX , P3 =1+x +e? vectore of P

Q: Let a = (-3, –4, –4) and b = (2, 2, 4) . Find scalars s and t so that sa + tb = (20, 4, 32) %3D %3D

A: We have to find the values of scalers s and t for a=-3,-4,-4 and b=2,2,4.

Q: Question 6 Let A' = [-4 16 8] and B' = [-1 x² 21 For which real value(s) of x are vectors A and B…

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Q: state a vector with all non-zero entries which is orthogonal to v⃗

A: Given v vector  Let w vector be orthogonal to v vector  Then w vector . v vector = 0

Q: Find the coordinate vector of p relative to the basis S = {P₁, P₂, P3 } for P₂. p = 15 - 20x + 6x²:…

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Q: Find all the vectors of the family (2-jx, j4, 2-j5, jx) that are of hermitian length equal to 21.

A: Let Y=2-jx,j4,2-j5,jx Length =Y=4+x2+42+4+25+x2   Y=49+2x2 49+2x2=2149+2x2=2122x2=392x=±14

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A: The given vectors a,b and c are not coplanar because,  a.(b x c)=0  Explanation: Given vectors,…

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

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Q: Find the distance from the origin to the plane through the point (-6,3, -2) and having 5i - 3j° + 4k…

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Q: Find the sine of the angle between vectors u = (-3, 2,6) and v = (3,2,6) by using the cross-product.

A: Given: The vectors u =(-3, 2, 6) and v=(3,2,6) Find : The sine of the angle between the vectors u…

Q: Find the magnitude vector v=(2,-3,5)

A: To Find: Magnitude of vector v=(2,-3,5) We know that magnitude of (x,y,z) is x2+y2+z2   therefore…

Q: Find a unit vector orthogonal to both u and v. u = 2i5j + 3k 2-3 V = + -k 10

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Q: Is the pair of vectors 2i – j and -i+jperpendicular? no yes

A: Given vectors 2i-j and -i+j Two vectors are perpendicular if and only if dot product of those two…

Q: Find the magnitude of the vector AB A=(4, 1) and B=(-3,0)

A: Given that, A = (4, 1) B = (-3, 0) We have to find the magnitude of the vector AB.

Q: The vector v has initial position P and terminal pet P (2, 5); Q=D (-5,-1) v 7i+ 6j Ov- 6i+ 7j…

A: Let's Solve, Answer: Option D

Q: What is the terminal point of the vector a = (4, 1) based at P = (1, 5)? Answer:

A: Use the definition of terminal point, we solve this problem as in next step.

Q: Find the next vector spacing and wrap A = 1(x +y) +j + zx) + k(2 +xy)

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Q: (-34,-9)and terminal pointQ-14 Given a vectorv with initial potnt the unit vectorstand i.

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Q: Find a unit vector perpendicular to i-j and to i +k and with a positive k component.

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