[1 2] 1: Let A = 3 2, and B = 10 [2 0 1 0 2 -1 a) Find A B b) Find B. A c) Find AT +3B

Q: Find a b. a = 61 + , b-1 - 9) + k

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Q: Solve for A: 2 4 6 8 -3 5 37 10 A=6 1 -7 1 4 6 9 -6 3 0 0 0 A=0 0 0 0 0 0

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Q: ii) Find the dot product of the vector a in part (i) with the displacement vector AB such that…

A: Given that  Following vectors  To find the dot product

Q: Let B = [-1 1 4 -3] Find -4B

A: Solution

Q: Simply by expressing in the form of a+ib. And 3/√6-√-12.

A: This is complex number. 'i' is the complex number such that i²=-1. The complex conjugate of 'a+ib'…

Q: Find x, and x2- -52 28 -5 5 X2 40 X =

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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: Let A=(¹). 3¹). Find 3A³2A² + 5A - 12.

A: Given: A=1-123 We are required to find: 3A3-2A2+5A-I2

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: L. Given 2+ 2r + br - 19z +15 - cx + dx? + ex +f, find the values of b, c, d, e and f. * + 2r +5 INP…

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Q: Given that a + bv3 = V151+ 28V3, where a and b are positive integers, calculate the value of a and…

A: To find- Value of a and b.

Q: Determine the values of a, b, c and d: (1+ 2x)a = 1 + bx + 24x° + dx3 + 16x4 ax2 + bx + c = 0 -b ±…

A: Given,(1+2x)a=1+bx+24xc+dx3+16x4

Q: Let à = 27 - 5j + 4k and b = − − 5j + 4k. Find -a + b. -ā +b =

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Q: 8. Find the value of t. (94 + 31)" (7t + 2) B

A: We have given the arc length BC = (7t + 2)° And arc length DE = (94 + 3t)° And length BC = DE We…

Q: Find a pair of integers x and y such that 66x + 48y = gcd(66, 48)

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Q: 3. Find the intersection of ₁ and ₂: ₁2+ 4y-32= -9 ₂: 4r +9y+2z=-1

A: Given planes equations:- π1: x+4y-3z=-9π2: 4x+9y+2z=-1

Q: Find å + B, 2å + 35, |äl, and |ä – | for å = i + 2j – 3k and b = -2ï – j + 5k.

A: solution:-a→=i→+2j→-3k→b→=-2i→-j→+5k→(1)a→+b→=i→+2j→-3k→+-2i→-j→+5k→         =1-2i→+2-1j→+-3+5k→…

Q: A pair of digits (a, b) is such that 4a5b32 is a multiple of 66, find a+b.

A: Please see the below picture for detailed solution.

Q: 3. State the GCF of each pair of terms. a) 6x and 10x b) 154³ and 20² c) ab and a²6² d) -2x¹y¹ and…

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Q: -a b Evaluate-2a +4x 2b-4y x с 2b-4y 2c +4% -Y

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Q: Q1: Determine if a +b+c+d=10 where a, b, c, d ER are such that: 6x³+3x²-5 -1 2a x-l + 3b x+1 + cz…

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Q: MR=5(a+9) and MP=13a+42

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Q: 1.fし) -x' + 5 and glx) =x²+4x-12 ラ

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Q: If A %3D аx + За, and B %3D 5ax + 2а, — баz, find @AB- АВ

A: ANGLE BETWEEN TWO VECTOR

Q: 1. Find a b (a) a =, b = (b) a =, b = (c) a= 27 +3j - 4k, b = i-3j+k

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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