1) Given r, = 31 – 2j + k, r, = 2i – 4j – 3k, 13 = -i+ 2j + 2k, find the magnitude of 2r1 – 3r2 – 5r3. 2) Determine the value of a so that A = 2i + aj + k and B = 4i – 2j – 2k are perpendicular.

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A: Given the equations are y1 - y3 = 12y1 + 3y2 - y3 = 1y1 - y2 - y3 = 3

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A: Note: - “Since you have posted a question with multiple sub-parts, we will solve the first three sub...

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A: To simplify the following expression.-2w-6-6x+w+6x  

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A: Solution ) first angle = x  Second angle = 4x - 225° They are complementary x + 4x - 225° = 90° 5x =...

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A: topic- functions

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A: As per guidelines we can answer only three subparts questions at a time so if you need more answers ...

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A: first find integrating factor then find solution.

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A: a circular above ground pool has a height of 52 in. and a volume of 1100 ft3.

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A: We will find the correct answer on matrix multiplication. 

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A: To set up an equation and then solve for the missing variable for the following If z varies directly...

Q: INSTRUCTION: SHOW YOUR SOLUTION COMPLETELY AND CHOOSE THE CORRECT LETTER.

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A: You have submitted multiple question. According to Bartleby policy I'll solve the first question. Pl...

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A: We have given a polynomial equation,we have to find zeros .

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A: From figure two lines are  parallel ⇒Consecutive adjacent interior angles     are supplementary⇒  90...

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A: We have to find that gender and watching the world Series independent or not. 

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A: The objective is to find how many servings does Katrina have?

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A: We will use some initial steps of simplex method to solve this problem.

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A: The given question has been solved in detail.  Thus options A, B and C are correct. 

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A: To find the value of 1111 using the binomial theorem. Now, the Binomial expansion of (1+x)n is: (1+x...

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A: To find out the zeroes of the function. 

Q: (-12,12) 16– (24,8) 8 (-8,8) (-24,0) ((-4,0) -16 16 (16,0) (0. – 4) 8. (8,-8) (-28,-8) | 16

A: All the parts have been solved in detail. 

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A: We will solve for r as follows 

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A: A matrix is said to be invertible only if it's determinant has a non-zero value.  

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A: Find your answer below 

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A: Topic = Algebra

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A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

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A: topic- composite functions