L is a line with parametric equations x=-1+2t   y=3t    z=5-t S is a plane that contains the point (5, 3, 4) and the line L. a.) is the point (5, 3, 4) on the line L? Explain please b.) Find a nonzero vector perpendicular to the plane S  c.) Find an equation for the plane S

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

A: Given, The equation of intersecting planes, x+2y-2z=5 and 5x-2y-z=0.   We have, x + 2y = 2z + 5 and…

Q: Let P(3,-1,4) and Q(10, 13,9) u = (2,5, -1) and v= (7,-1,2) l be the line through P along direction…

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Q: Which of the following statement(s) are TRUE for the line that passes through the point P(1,0, 3)…

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Q: Find parametric equations of the line through Po(xo, yo, Zo) parallel to v. 4 (а) Ро(3, 4, —2), v…

A: a) A line is passing through the point P03, 4, -2 and parallel to the vector v→=4i^-5j^+2k^. The…

Q: B 10. Write a vector equation and parametric equations for a plane that satisfies each set of…

A: Due to Bartleby answering guidelines I have solved only first three Subparts of the given question…

Q: 3) Find equations for the lines: The line through the point D/2 g. The line through (0,-7,0)…

A: Equation of line in 3D

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Q: 6 (-). 5 to the vector p 13 (13). A line g passes through point A-1 10 and the line is parallel…

A: here we use simple form of line and plane.

Q: ind the distance between the point (-1, 2, 1) and the plane 2x + 3y - 4z = 7. OTE: Give your answer…

A: Given query is to find the distance between the point and the plane.

Q: Q1: al Find parametric and vector equations for the line y-axis, then find the distant between the…

A: Since you have uploaded multiple question, according to our guidelines we have solved first question…

Q: Please give as much as detail as possible. Find the parametric equations of the line which passes…

A: Consider the given information.The given point is (2,0,-3) and vector is v=<0,-1,5>. The…

Q: just answers : a-e 1a.) The line (1) has a direction vector (2,4,6). Find the magnitude of the…

A: 1a) To find the magnitude of the direction vector (2, 4, 6), we use the formula for the magnitude of…