the basis of P2 cons tive to B.

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: The real part of cot(1 + j2) is.

A:

Q: Find the principle argument of cos(2 + 3i) and ecos(2+3i)

A: Given: cos2+3i ecos2+3i We have to find the principal argument.

Q: 6. Use Cramer's rule to solve: x - 4y +z = 6 4x -y + 2z = -1 2x + 2y3z = -20

A:

Q: Pres. Ganda is texting three friends namely Ino, Shikamaru and Choji. He would like to know who…

A: Suppose the number of messages received by person I is x, received by person S is y and received by…

Q: Compute / z(r +2) dr. + 2x) +C +z² +C +C O z°(z² + 2z) +C O z° +z? +C

A: Given

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)…

A:

Q: 4. Using Cramer's Rule, solve:

A:

Q: Solve the Auxiliary DE 75. и"" + u" — 2и 3D 0

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

Q: Evaluate L{3 cos 2t} 3s S а) s2 + 4 b) s2 c) s2 + 4 d) s² + 4 4 a O d

A:

Q: 2. 4 7 X•w Compute w • w, x•w, and using the vectors w=-1 and x = w•w - 5 3 w•w = (Simplify your…

A:

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: In Problem,find ||v|. v = 6i + 2j

A: Given that, v = 6i + 2j We have to find v.

Q: Solve the following using Cramer's Rule, 5x + y – z = -7 2х — у — 2z %3D 6 3x + 2z = -7

A:

Q: Solve using Crámer's Rule. X + 2y + = 2 3z = -10 y 2x +2y %3D 3= IL || ||

A: x+2y+z=2 y-3z=-10 2x+2y=0

Q: Let a = (2, – 3, – 1) and b = (– 5, – 1, k). %3D %3D - Find k so that a and b will be orthogonal.…

A: Since we have been given that a⇀ = <2, -3, -1> and b⇀ = <-5, -1, k>Our aim is to find…

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

A:

Q: Show that if an = 5n3 - 14n2 + 7n - 3, then an = Θ(n3).

A:

Q: H.W/Given A = ax + 2 ay - 3 az, B = ax + 2 ay - 3 az, B = -4ay+az and C = 5ax - 2 az Find 1- Ax B…

A:

Q: Show

A:

Q: Let a = (-3, 0, 4) and 6 = (0,4,-4). Find the projection of 5 onto ā. proj₁ = 25

A:

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: Let a = (1, – 5, 3) and b = ( – 5, 3, k). | Find k so that a and b will be orthogonal. k =

A: a→=1,-5,3b→=-5,3,k To find: value of k for which both will be orthogonal.

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: 11. Prove (AUB) × C = (A x C) U (B × C)

A: 11 prove (A U B)*C = (A X C) U (B X C) here this is the property of distributive  so this is direct…

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

A:

Q: 2. If A = 2a, + 0.3a, – 1.5a, and B = 10a, + 1.5a, - 7.5a,, Show that A and B are dependent vectors.

A: The solution is given as

Q: S. The Converse of the Pythagorean Theorem is used to determine if a triangle is a right triangle.…

A:

Q: 3.10. Rotate the vectors by 30%. *:[],三闾

A: We have to Rotate the given vectors by 30°.

Q: Solve the following using Cramer's Rule 2x - 4y + 5z = -33 4x - y = -5 -2x + 2y - 3x = 19

A:

Q: sinrdr In(cosr – 3) | cosr -3 A cosr – 3 B In (cosr – 3) In (cosr – 3) cosr – 3 D sinr E) None

A:

Q: what is -16 IT 3 52" ST 5² p²rin & dp dp de 0

A: Recall the formula: