the basis of P2 cons tive to B.

Q: Are the following two sets of coefficients orthogonal? -1, 0, 0, 1 -1, 1, 0, 0 Yes No

A: Given data is as follows: -1,0,0,1 -1,1,0,0 Yes the following sets of coefficients are orthogonal as…

Q: 81. Given r = (-3, 4) and s = a. Find the product ||r|||s||. (9. – 12). b. Find r· s. c. Based on…

A: Given:r=-3,4 and s=9,-12Formula:u=u.u

Q: O 2 2] B = 0 2 0 0 0 2 TRUE or FALSE: B is diagonalizable.

A:

Q: QB3% Let C=2+3i u= ( 1²/13 + 2/2 ²,0, 1/3-2²) v = ( 3²/3 + 4/1/², 1/3-2, 0) Calculate a) 2-3i b)…

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Q: a) Use polar coordinate to evaluate I √x² + y² dA R where R is the region bounded by the circle z² +…

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Q: 32? +2xy+ 3 yz + 4xz >0 frove ît full frame form ?? O D

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Q: The vector ₹ = −a + 2a expressed in RCS and in terms of þ is

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Q: If v = 31 - 5j and w = - 7i+ 4j, find 3v - 4w. О А. 37i- 31ј О В. 171-10] О с. - 4i-j O D. - 19i + j

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Q: Identify the point that lies on the unit circle. c. ) D. (- ,-) A. (- 40 9 (11 25 36 '36, 41 41 41.…

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Q: Q1: if AB = i + 4j – 2k and B is the point (5,1,3), find point A.

A: Note: -Since you have asked multiple questions, we will solve the first question for you. If you…

Q: The vectors p and q span R2 For which values of k will (k2 + 2k - 3)p + (k2 +k - 6)q = 0 Explain…

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Q: If p = 2i +j - kand q  = i - 3j +2kdetermine the norm of the addition of p and q, and the magnitude.

A: Consider the given information. p=2i+j-kq=i-3j+2k Find the sum of p and q. p+q=2i+j-k+i-3j+2k=3i-j+k

Q: -3 . Let vi = V2 = 2 V3 -6 and p = 6. 3 3 14 . -69 Determine if p is in Col A, where A = [v, v2 V3].

A: • Col A is the column space of matrix A which is the set of all possible linear combinations of the…

Q: 2. Use Cramer's nule to sorve the followng Syster. of equations 39+2x=Z+l 3x + 27 =8-5y 37-1 = x- 2y

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Q: Let a = ci +jand b 7i + 56j. Find c so that a and b are orthogonal. %3D %D C =

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Q: 1 0 -4 1 -2 5 x, 13 -3 0 7 5 2 -2 3 4.

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Q: Karen wishes to have $17,730 cash for a new car 5 years from now.  How much should be placed in an…

A: Given: Karen wants $17,730 after 5 years. The interest is compounded weekly with a rate of 6%. To…

Q: Consider the following. u = -5j, v = -i – 3j (a) Find u v.

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Q: Show that if PER"×" is an orthogonal projector, then P+ = P.

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Q: 27 -k are parallel. 2 Q.7 Show that the vectors 4i - 6j + 9k and -6i + 9j –

A: Two vectors are parallel if they are scalar multiple of one another i.e. if a & b are two non-…

Q: If u = 7i - 2j + 3k and v = -i + 3j +5k then Projuv is a- 62 62 10 b- +j+k 35 35 62 10 d-i+j+k 35 35…

A: Given vectors are, u=7i^-2j^+3k^  and  v=-i^+3j^+5k^ Now projection of v on u is given by.…

Q: The vector F = -ar + 2a expressed in RCS and in terms of is O None of the choices O - = (−cos0sind…

A: We can solve this using spherical co-ordinate matrix

Q: Let x = (-2,7,-7) and y = (1,6, 6) be in R°. Compute the following: x + y = ( -5x x – y = ( -5 x +…

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Q: A= 1-1-1 Anda diagonal D and an orthogonal mats P to which PT AP-D. The mas D should have to…

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Q: 2. Let A = a₁ + a2j + a3k and B = b₁i + b₂j + b3k. Then (A × B) . j is equal to a) a2bვ — a3b2 b)…

A: A=a1i+a2j+a3k B=b1i+b2j+b3k.

Q: give vector form for the solution

A: Here we have to find the vector form

Q: If u = 2i + 5j; v = i - 2j; w = 3i - j, so u + v * w is:   -3   3   6 -6  9

A: Given that: u = 2i + 5jv = i - 2jw = 3i - j To find: u + vw

Q: 2. a. In each part express the vector as a linear combination of 2+x+4x², p₂ = 1 − x + 3x², and p3 =…

A: