Let u = (3, 5, -1) and v = (2,2, 3). Find 3u + 7v (i t 3u + 7v. Mi ).

Q: ZA and ZB are supplementary. If mZA = (8x+100)° and m B=(2x+50)°, find m/A and m/B.

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Q: 5u + 3 at u=3 2.

A: We need to find 5u+32 at u=3. So,       5u+32=5(3)+32=182=9.

Q: If 21 = (2, -1), z₂ = (6, 3), find 2₁ 22 - 22.

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Q: Solve for u. (u+3)² = 2u²+u+15 If there is more than one solution, separate them with commas.

A: Solution:-

Q: Find w such that 2u + v- 3w = 0. %3D u = (0, 5, 7, 2), v = (-3, 4, -8, 1) W =

A: vector

Q: Ifv = [ -2, 4], compute and draw 2v, 1/2 v, and -2v.

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Q: rỉ + 10x1x2 + x = as² + ßt²

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Q: iven ux*² = (1,-4,0), find lữ LƯ JAC

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Q: Let u = 4u + 5v (9, -2, -8) and v = (4, −3, −1).

A: The required solution is:<56,-23,-37>Explanation:

Q: alm +3)+ m= Bm 3m-

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Q: Let a = 5j + k and b - 27 + 3 + 2k. Find - 3ā – 36.

A: We can find the given vectors.

Q: B|a- Find u.v and v xu if u=i+2j-k and v=-2i+2j+2k

A: We have to solve given problem:

Q: If v = 7i + 3j and w = 4i - 5j, find 6v - 3w.

A: Given v=7i+3j and w=4i-5j We have to find 6v-3w. 6v-3w=67i+3j-34i-5j=42i+18j-12i+15j=30i+33j

Q: Find +62+7) dr 1(2²³/20 +C

A: Integration  ∫3x2+6x+7dx

Q: #X-N, (M. E) where QX)-2X +3X;-2X,x, Find M.

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Q: Evaluate A- using the method of adjoints 3 2 7 -3 3 4 1 A = 1 -4 -3 -4 1 -2

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Q: Find VW 2x - 7 2x - 14 | U • V. 15

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Q: Sketch v = (−2, 1), w = (2, 2), v + 2w, v − 2w.

A: Given vector, v = (−2, 1), w = (2, 2)

Q: (7, -8) and w=(-4,8), Given v= find v+w. v+w=

A: We know that, A vector in form of V→=a,b is represented as V→=ai^+bj^

Q: Determine Proy,b si ā = 3i– 4j+2k y b = -2i+3j-k

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Q: 2. Which point is the intersection of x + 2y = 8 and 2x + 3y = 10? a. (-2, 5) %3D b. (-4, 6) с. (2,…

A: The given equations are x+2y=8          …12x+3y=10      …2

Q: a2z If z = In(x² + y²), find a²z + dx2 ду?

A: Given, z=lnx2+y2

Q: Q9. (0,3) – 2i +1 = а. - 2i + 2 b. -2 – 2i с. (-1,1) d. (1,–1)

A: Substraction of two complex numbers

Q: Exl show that 9dx (x²+4)² 97 16 H.W

A: Here we have to show the above integral.

Q: -2 1 21 = a 3 +b -3 -22

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Q: dv (и? + 1) + 4uv Зи. du

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Q: Find

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Q: (2, –1, 3) and b (-3, 3, 4). Calculate 2a – 3b and |a – b|. Clearly separate the Let a calculations.

A: