Give a vector parametric equation for the line through the point (-1, –1) that is perpendicular to the line (5 + 4t, 5t – 3): L(t) = Find the vector equation of a line L going through the points (-3, -1) and (-4, 3). -1 -4 L(t) = 3 +t 1

Q: 2. (a) Calculate the position vector for P₁ and the displacement vector from P₁ to P₂, where P₁:…

A:

Q: a line is parallel to the vector 2i +7j+7k and passes through the point P = (7, 10, 3), then the…

A: Given query is to find indicated line.

Q: If a line is parallel to the vector 8i + 5j + 3k and passes through the point P = (6,2,4), then the…

A:

Q: Find a vector parametric equation r(t)|for the line through the points P = (-3, –2)|and Q = (-5,…

A: According to the problem, we have

Q: Which of the following is the vector equation of the line through the point (1,2,3) and parallel to…

A:

Q: Find a vector equation for the line segment from (2, -4, 6) to (5, 5, 5). (Use the parameter t.)…

A: a→=2i-4j+6kb→=5i+5j+5kn→=b→-a→=3i+9j-k

Q: write the equation of the line passing through P with direction vector d in (a) vector form and (b)…

A: Given that : P = ( 1, 0 ) and d = -13 .

Q: Find parametric equations for the line through the origin parallel to the vector 3j + 9k. Let z =…

A:

Q: O Find the parametric equation of the line through the point (-3,1,6) parallel to the vector V 2i +…

A:

Q: Find a vector parametric equation F(t) for the line through the points P = (1,0,-5) and Q=(2,3,-7)…

A: The vector parametric equation of the line that passes through the points: A=x1, y1, z1, B=x2, y2,…

Q: 14. Given the vector form of a line in three-space to be [x, y, z] = [2,6, – 3] + t[4,10,6], find a.…

A:

Q: Find the vector and parametric equations for the line through the point P(-5, 3, -1) and the point…

A:

Q: Find the equation of a line in vector form that is parallel to 3x−2y+z= 4, passes through the point…

A:

Q: Find parametric equations for the line whose vector equation is given. (а) (т, у) 3 (6, —5) + t(1,…

A:

Q: 1. Find both the vector equation and the parametric equations of the line through (−3​,5​,6​)and…

A:

Q: Find both the vector equation and the parametric equations of the line through (0,0,0) and (5,2,4),…

A:

Q: A parametric equation of the line (D) passing thrdugh A and parallel to the vector v is: x=2+3t y…

A: Given, Line D = x = 2+3ty = -1-4tz = 2  It is passing through A and parallel to the vector v  We…

Q: A parametric equation of the line (D) passing through A and parallel to the vector v is: x = 2 + 3t…

A:

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 vector and parametric equations for the line through the point P(-2, 1, -5) and the point…

A:

Q: Find a vector equation and a parametric equation for the line that passes through the point (5, 1,…

A: We have to solve given problem:

Q: Find the vector parametric equations for the line. in the direction of the vector 57-5-k and through…

A:

Q: write the equation of the line passing through P with direction vector d in (a) vector form and (b)…

A:

Q: Find parametric equations for the line through the point P(-5,6,7) and perpendicular to the vectors…

A:

Q: Find the vector parametric equations for the line. in the direction of the vector 4 i – 3j- 3k and…

A: Equation of the line passing through a given point a,b,c and in a given direction l i+m j+n k is…

Q: If a line is parallel to the vector 3i +2j+ 1k and passes through the point P = (1,3,8), then the…

A:

Q: Find the vector form of the equation of the line inR3 that passes through P = ( - 1, 0, 3) and is…

A: Find the vector form of equation of line passing through point  P=-1,0,3 and perpendicular to the…

Q: Write the parametric equations for the given vector equation: [2 [x, y, z] = [11,2,0] + t[3,0,0]

A:

Q: Which of the following is the equation of the plane passing through the point (0,2,-3) and with…

A:

Q: Find a parametric form for the line through the point (0, –7, -9) and parallel to the vector 6i – 7j…

A:

Q: Find a vector equation and parametric equations for the line segment that joins P to Q. P(0, −1,…

A:

Q: Give a vector parametric equation for the line through the point (-1, –1) that is perpendicular to…

A: We have to write a parametric equation of the line  which is passing through the point (-1, -1)…

Q: snip1

A: The given point is, P=1,2,-1 which is parallel to the vector d=5-13. The objective is to find the…

Q: A parametric equation of the line (D) passing through A and parallel to the vector v is: x = 2+3t…

A:

Q: If a line is parallel to the vector li + lj+ 4k and passes through the point P = (8, 4, 8), then the…

A:

Q: Find a vector equation for the line through the point P = (4, -2, -4) and parallel to the vector vv…

A: P= (4,-2,-4) is a point on the line.  And the line is parallel to v=(4,-1,4)  v is the velocity…

Q: Express the given parametric equations of a line using bracket notation and also using i, j. k…

A: Let's find.

Q: Find parametric equations for the line whose vector equation is (a) (x, y) = (3, –5) + t(1, –2) X =…

A:

Q: 5. Given the points P= (2,-4,-1) and Q= (5,-4,2) in space. A) Find the parametric equations of the…

A:

Q: Find a vector equation of the line r through D4 and perpendicular to the line s through F4 and B1.…

A: Given,D4→ = 1i ^ + 2j^ + 3k^Equation of line passing through D4→ is:x-1a= y-2b=z-3cThe above line is…

Q: 22. Determine the vector and parametric equations for the line passing through the points P(-1,-3)…

A: “Since you have posted multiple questions, we will solve the first question for you. To get the…

Q: Find parametric equations for the line whose vector equation is given. (a) (x, y) = (4, –3) +t(1,…

A:

Q: Find a vector equation and parametric equations in t for the line through the point and parallel to…

A:

Q: Find the vector equation of a line L going through the point P = (-5, -6) and parallel to the line…

A: The vector equation of line is

Q: Find the vector equation of the line passing through the point (1, 2, - 4) and x-8 y+19 z-10 x-15 у…

A: To find the equation of line perpendicular to the given lines first we find vector perpendicular to…

Q: If a line is parallel to the vector 7i + 9j+ 9k and passes through the point P= (2,9, 7), then the…

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

Q: (6) Show that the vector equations r = -2i + j+ t(-į+ 5j) and r = -3i + 6j + s(-3i + 15j) | | refer…

A: The vector equation of a line is r⇀=a⇀+λb⇀. Where a⇀ and b⇀ represent the position vector and…

Q: 14. Given the vector form of a line in three-space to be [x, y, z] = [2,6, – 3] + t[4,10,6], find a.…

A: