Find parametric equations for the line. (Use the parameter t.) the line through the points (14, 3, -15) and (-8, 3, 12) = ([ (x(t), y(t), z(t)) = Find the symmetric equations. z + 14 O x + 15 = -22 Oy + 8 = x 14 -22 y-3 0 Z 12 27 z + 15 27 X = -8 O x 22 = y 14 = Y = 3 Z + 15 27

Q: 4. Write parametric and symmetric equation of the line passing through the point (-3, 5, 4) in…

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Q: Which of the following is the Cartesian equation of the line passing through C(2,-1) and parallel to…

A: We can find the equation of line as below

Q: A city is described parametrically by the equation r = (ai + bj+ck) + svi + tv₂ where v₁ = 3i+j+ k…

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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…

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Q: 3. Find the interval on which the curve of y= 2 1+3t+t² dt is concave up.

A: Second derivative is positive.

Q: Find a Cartesian equation for r = 3t – 1, y = 4t + 2.

A:

Q: Find the symmetric equation for the line through the point of (2.-5,4)and a vector (3,–1,-3).

A: Given the vector is, 3,-1,-3 And the point is, (2,-5,4). The parametric equation for…

Q: P= (2,-2), Q = (4,0) ∙8-8 t X =

A: Vector equation of a line passing through two points with position vectors P(2,-2) and Q(4,0)…

Q: 24. Write parametric equations for the line passing through the point at (-2, 5) and parallel to the…

A: The given equation is  3x - 6y =-8 which can be written as        6y = 3x +8 or, y = 12x + 43 The…

Q: Find parametric equations of the line that satisfies the stated conditions. The line through (-2,-2)…

A: Solution is given below:

Q: A point P(x, y) moves so that the sum of the squares of its distances from points A(0,0)and B(2,-4)…

A: Given,           A point P(x, y) moves so that the sum of the squares of its distances from points…

Q: Find parametric equations for the line in which the planes, X+2y-2z=5 and 5x-2y-z=0 intersects. Show…

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