Given that i =< 5A – 1,4A+1,5A – 8 > and i =< 3,8,6 > and that i • v = 188 determine the value of the constant A.

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: Values a and b satisfy (a + 1)2 + (b − 23)4 = 0. Compute the value of ab.

A: We have been given the equation (a + 1)2 + (b − 23)4 = 0

Q: Find the point of intersection of lines 1₁ and 12. 1₁:r₁ = (5 + 2t₁)i + (10 - 3t₁)j + 2t₁k 12:12 =…

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Q: Compute (3, -3,1) • (-1, -3, -4). (3, − 3,1) • ( − 1, − 3, -4)= (Simplify your answer.) - -

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Q: 2 x*(1 – 2x)³dx

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Q: Use z = a + bi and w = c + di to show that z + w =7 + W.

A: Consider a complex number z=a+bi Then, the complex conjugate of above complex number is given by:…

Q: Find the following products for P (7,0,2), q = (-2,2,-2), 7 = (0,2,-3) (F. P)a

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Q: Solve the equation 8sin?xcosx – 2cos?x = 2cosx.from[0,2n].

A: To solve the following trigonometric equation  8sin2x.cosx - 2cos2x = 2cosx

Q: ;) 2r-11x-21 0 ii) x + x 22

A: 1)                                          2X2-11X-21 =0                         To solve this…

Q: Find x and y given that (x+yi)/2+i = (1-i)/2+3i

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Q: Show that fu,, u,) is an orthogonal basis for R?. Then express x as a linear combination of the u's.…

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Q: 2.) ( 4x - 29x- 38) ÷ ( 2x + 3 )

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Q: find all real such that 12x-11>x

A: The inequality can be calculated using absolute values. The absolute value function takes a positive…

Q: If LEFH= (2x + 2)° and its complement LHFI = (x+1)°, then what is the value of x?

A: If two angles are complement of each other,  then sum of both angle is 90°.

Q: 3. Show that (1+i) = 2i

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Q: If A = -4 + 2i and B = 3 – 5i, in which quadrant does A + 2B lie?

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Q: put find all 44i ofthe equotic ナリ2971

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Q: Solve the Coout's linear wsuation by method. 2n, t0 x + X3 = 4 -3n, +4Xz -213 6.

A: To Determine :-  The linear equation by Crout's method . 2x1 + 0x2 + x3 =4-3x1 + 4x2 -2x3 =-3x1 +7x2…

Q: and y= If a = 3, then x =

A: Solve using the properties of trigonometric rations

Q: 4. If ā= 3i - 2j and b=-5i- j, express 3 a -b in terms of i and j.

A: This is a vector problem

Q: Question 12 > Let a = - 6ỉ – 73 and b = – 47 – 33. Find ä · |

A: In this,we find dot product of given vectors a&amp; b.

Q: Find a b. . a = 8i + j, b = i-4j+ k

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Q: The height of 10 plants is measured in inches and found to be 12,6,15,3,12,621,15,18 and 12. Verify…

A: We know that, Mean, X bar = (summation Xi)/m Here n= 10 X bar = (12+6+15+3+12+6+21+15+18+12)/10 = 12

Q: Find the real numbers x and y if (x – iy) (3 + 5i) is the conjugate of –6 – 24i.

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Q: -6 14 (-7 15 , 18. Solve for X, if X³ = (). 0 2 Ans. X = -1 3

A: We are given that for a matrix X, such that X3=-614-715. We need to find the value of X. Let X =…

Q: b) Let {(-2,–6), (–1,5),(0,4),(1,3)} and {(-2,–18), (-1,–7),(0,–4), (1,–3)} be the point-value…

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Q: Let a = -27 +53 + 4k. Find a.

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Q: Let z1 = -5 + 14i and z2 = 5 – i. Find z122 and (z1z2). 7122 (2122) ||

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