Find parametric equations for the line whose vector equation is give (a) (x, y) = (2,-2) +t(1,-6) 20=== (b) zi+yj+zk=k+t(i-j+k) x Z=

Q: Develop vector and parametric equations for the line through (7,2,-1) and parallel to r = (4,7,0) +…

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Q: Find the new equation of the line y=x after applying the translation by the vector (2, -1)

A: New line will be shifted to 2 units right and 1 unit down.   Point on x axis (2,0) Point on y axis…

Q: Find parametric equations for the line whose vector equation is given. (a) (x, y) = (4, –6) + t(1,…

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Q: Give the parametric and symmetric equations of the line that passes through the point (4, -3,5) and…

A: Using the dot product equal to zero for perpendicular to the vectors.

Q: Find the vector and parametric equations of the line through the points A = (2,4,7) and B =…

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Q: rite the equation of the line passing through P with direction vector d in vector form and…

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Q: Find the scalar equation for each line: (a) a line through the point (-6, 7) with direction vector…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Let / denote the line in R with equation y = = 3x - 2. Let Q = (2, -1). (a) Write the line / in…

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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: Find the parametric and symmetric equations for the line passing through the point P(1,-3,6) and it…

A: Equation of the line passing through the one  point and parallel to the given line

Q: Write a vector equation for the line segment from (-3, 0, 0) to (0, 4, 3).

A: To write a vector equation for the line segment from -3, 0, 0 to 0, 4, 3. To write a vector equation…

Q: Write the vector equation of the line through (9,-1) and perpendicular to (x,y) = (1,-2) + t(6,-7)

A: The given data is: x1,y1=9, -1 Write the vector equation of the line through 9, -1 and perpendicular…

Q: Find the scalar equation of the line through (3,-2) and perpendicular to the line r = (4,-3) +…

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