3 Find the distance of the point Q from the line L with the following parametric equations. x = -1+ 4t y = 1+ 3t z = 7 – 3t Answer:

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A: The given equation

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A: To write the pair of parametric equations in rectangular form. To state any restrictions on the…

Q: The parametric equations for a line L₁ are as follows: x = −2+3t y = −4+6t z=-5-9t Let L2 be the…

A: The parametric equations for a line through the point (x0,y0,z0) and parallel to the direction…

Q: Use the parameter to write each rectangular equation as a pair of parametric equations. State any…

A: The parameter is

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A: The solution of given equations is given as follows . The graph is the straight line as given below…

Q: Consider the following. x  =  −t + 1 y  =  −5t Sketch the curve represented by the parametric…

A:

Q: Using the pair of parametric equations, find the values of A and B in the table. x = -8t + 8, y = t…

A:

Q: Let A = (1, -2, 2), B = (0, -1, 3), and C = (2,c4, c), where c is a real-valued constant. Find all…

A: Let A=(1, -2, 2), B=(0, -1, 3), and C=(2, c-4, c) where c is a real valued constant.

Q: Find parametric equations for the line through the points P(-1,- 1, -4) and Q(-4,-7,7). O A. x-t-3 y…

A:

Q: Use the parameter to write the rectangular equation as a set of parametric equations. x² State any…

A:

Q: V4-x² x2+y2 4-x² x²+y² xdzdydx + ædzdydx V1-x² 0,

A: The given integral is∫01∫1-x24-x2∫0x2+y2xdzdydx+∫12∫04-x2∫0x2+y2xdzdydxWe have to convert integral…

Q: Determine the line of intersection of the two planes: x+y-z-2=0 and 2x-y+3z-1=0. Write the…

A:

Q: x = 3cos y = 5sin 2 2

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: consider the parametric equations:  x= √t y=√4-t graph the equation on the interval 0≤t≤4 while…

A:

Q: Graph the curve whose parametric equations are given and show its orientation. Find the rectangular…

A: We can find rectangular equation.

Q: Give the parametric equations of the rectangular equation below. y = (x − 2)² + 5 x = t + 2 x = t 2…

A:

Q: A second car also leaves at noon and drives in a southwesterly direction. At 2 pm, its location…

A: Given

Q: The line through (- 10,7,10) perpendicular to the plane 9x + 2y + 6z =5 Choose the correct answer…

A: Given query is to find the equation of the line.