A baseball is hit 3 feet above the ground at 110 feet per second and at an angle of 45° with respect to the ground. (a) Find the vector-valued function for the path of the baseball. r(t)= 55 2 t, 55 2t-16t², 3 (b) Find the maximum height. (Round your answer to three decimal places.) 97.530 x ft (c) Find the range. (Round your answer to one decimal place.) ft (d) Find the arc lengths of the trajectory. (Round your answer to one decimal place.) S = ft

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A: Let us solve above problem.

Q: 13. Given the points A(3,5) and B(- 3, - 7), find a. the vector equation of the line. b. the…

A: Here, the given points are A(3,5) & B(-3,-7)

Q: 10

A: Please refer to the image below

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A: We have to find the vectors.

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A: When you divide a vector by its magnitude you get an unit vector along its direction.

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A: i+2j+xkTo Find: Value of x so that the vector makes an angle of π4 with the positive z axis.

Q: Write the vector equation of the line defined by the following points. (25,17,42)and(-16, 12, 25)

A: Answer is given below :-Explanation:To find the vector equation of the line passing through two…

Q: 1. Calculate the area of the parallelogram spanned by the vectors Á = and B = .

A:

Q: what will be the direction of -k x -i ?

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

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A: The given function is

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A: Consider the given vector: Here the objective is to prove that the given vector is a unit vector.

Q: Find a vector that has the same direction as [4, 2,5] but has length 35.

A:

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A:

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A: The given position function is

Q: Answer

A:

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A:

Q: Find the equation of the line L that passes throught point P ( – 4, 3, 7) and Q( – 8, 1, − 5). Enter…

A: r(t)=<-4,3,7>+t<-4, -2,-12>Explanation:Hope it helps youplease ask if you have any…

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A:

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A: Solution :-

Q: please answer all i really need it and make sure it’s correct

A: (10).       (11). Step 1:--    Step 2:--Step3:--(12).

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A: The given vectors are v1=12, v2=34 and v3=56