Represent the line segment from P to Q by a vector-valued function. (P corresponds to t = 0. Q corresponds to t = 1.) P(−7, −5, −1), Q(−1, −9, −6) (a) r(t) =  (b) Represent the line segment from P to Q by a set of parametric equations.

Q: Given the point A(2,1,-3) and B(6,-1,-5) write the vector equation and the parametric equations of…

A: Once we get vector form of the equation we can easily write the parametric form of equation of line.

Q: Use the vector w= (20, -15) ||w||-19 ||w||-19=

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Q: PLS HELP ON ALL ASKED QUESTIONS PLS

A: THE ANSWER IS IN THE EXPLANATION PART.FEEL FREE TO ASK ANY OF YOUR DOUBTS AND COMMENT IF YOU FACE…

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: r1(t) = (3, –6, 2) +t (-4, 2, –4) r2(t) = (-3, 3, – 10) + t (2, 1, 0) Find the point of…

A: Lines r1 and r2 can be rewritten as follows:

Q: 1. Given three points A(1,-2), B(2,-1), and C(0,3). Determine: a. Equation of the line through A and…

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Q: O ich of the following is a vector equation for the line through (-1,2,-2) and parallel

A: We have to find the vector equation for the line through (-1,2,-2)and parallel to…

Q: Determine whether the lines L₁ and L2 given by the vector equations are parallel, perpendicular, or…

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Q: Consider the set P= {(x, y) E R² :0 <x< 2 and 1 <y< 2}U{(x,y) E R² : 0 < x <1 and 0< y < 2}. (a)…

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Q: In vector form, the equation of a line is given by r = (0, 1, 2) + t(2, 1,0), where t e R. T…

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Q: A point A(-5,-3) is translated by the vector v = , and then reflected about the line y=0. the…

A: Given that: A(-5, -3) is translated by v=&lt;8, 0&gt;

Q: 3. Find the equation of the line that goes through the point (1, 3, 2) and is parallel to the line…

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

Q: Find the position vector (i.e. the direction vector) from the point P(−4,−6,3) to the point…

A: To find the position vector (i.e. the direction vector) from the point  P-4, -6, 3 to the point Q4,…

Q: must use linear algebra to find the parametric equations of a line of intersection in R3 for x1 + x2…

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