Find Cross Product Let à = (3, – 3, — 4) and 6 = ( − 2, – 3, 5). Find à x 6. V

Q: Consider the points A(2, a,0), B(0,1,B),C(1,1,B) where aand Bare negative real numbers. Find a and…

A: To add or subtract, two or more vectors add or subtract the corresponding components of each vector.

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

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

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Q: S. x Y+ 3 x²

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

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Q: Find u × v, v × u, and v × v. u = (3, 2, 8) v = (−3, −1, −9)

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Q: Find a and b such that 2 1 20 = a 2 +b -4 -22 -1 a = b =

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Q: Let ā = (2, 3, – 2) and b = (4, 2, – 2). - Find a · 6.

A: The dot product of two vectors is calculated as follows: a→·b→=xi^+yj^+zk^·ai^+bj^+ck^=ax+by+cz

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

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

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: Find two positive numbers a and b such that 2a + 3b = 1 and so that a3 + b2 is as small as possible.

A: Find  two positive numbers a and b such that 2a + 3b =1 and so that a3  + b2  is a small as…

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: Let å = (– 1, – 2, 1) and b = (4, 2, 1). Find å x b. V

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Q: Suppose that x, y and z are three positive numbers whose sum is 100 If P denotes the product of the…

A: Given,           Suppose that x,y and z are three positive numbers whose sum is 100.           Also,…

Q: (D+30+3 (0+30+2)) -2)y ex %3D

A: The given differential equation is: D2+3D+2y=e-xx where D=ddx is the differential operator.

Q: V9 – x² x2

A: Given: I=∫9-x2x2dx   ...1   As we know that; The trigonometric identities; 1). sin2x+cos2x=1 2).…

Q: Please find cross product c=a x b, where a= and b =. For c=16i+0j+?k, please enter the missing 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: Let ā = (−4, −5, −3) and 6 = (-5, −4, 4) Find a × 6. V >

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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: A rectangle with length / and width w has a diagonal of D inches. If the perimeter of the rectangle…

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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.

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Q: If A = 3j + 2k, B = 2i – 2j – 2k then Ax B

A: Use cross product of vector

Q: Find the real numbers x and y if  2x –i = 6 + ( 1 – y )i

A: Given that  2x –i = 6 + ( 1 – y )i Find the real numbers x and y if