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![<4+4+, -4-t, t-37 has direction cosine 4,-1,1 [xy_yty 2+3 = + ] So, parametric equn for the line through point 10,-3, -3) and](http://img.homeworklib.com/questions/0e26b060-9d99-11ec-9a32-b9dfa3fb0438.png?x-oss-process=image/resize,w_560)
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(1 point) Give a vector parametric equation for the line through the point (0, -3, -3)...
(1 point) Give a vector parametric equation for the line that passes through the point (1,...
(1 point) Give a vector parametric equation for the line that passes through the point (1, -5, -1), parallel to the line parametrized by (-3 – t, 1+ 4t, 4+t): L(t) =
(1 pt) Find a vector equation for the line through the point P = (1, -2,...
(1 pt) Find a vector equation for the line through the point P = (1, -2, 3) and parallel to the vector v = (-3, 2, -3). Assume r(0) = li – 2 + 3k and that v is the velocity vector of the line.. r(t) = i + j+ Rewrite this in terms of the parametric equations for the line. X < N
Equations of Lines For problems 3 & 4 give the vector and parametric form of the...
Equations of Lines For problems 3 & 4 give the vector and parametric form of the equation of given line. *4. The line that passes through (10,-8, 14) and is parallel to r(t)=(9,-3+6t, 141).
1. Find the vector equation of the line (a) through the point (1, 3) with gradient...
1. Find the vector equation of the line (a) through the point (1, 3) with gradient 2, (b) through the points (3,-5) and (-2, 4), (c) * through the point (2,-1) and parallel to the line r. (41 – 3j) – 2 = 0, (d) through the point (-3,6) and perpendicular to the line 3x - 5y = 7
Find a vector equation and parametric equations for the line segment that joins P to Q. (D |-1+2-) 1 P(0, -1,...
Find a vector equation and parametric equations for the line segment that joins P to Q. (D |-1+2-) 1 P(0, -1, 4) 4 -t.2 3 t. r(t) 4 vector equation X 7 4 t.2 3 1 - t. (x(t), y(t), z(t)) 4 X - parametric equations 2 If two objects travel through space along two different curves, it's often important to know whether they will collide. (Will a missile hit its moving target? Will two aircraft collide?) The curves might...
please answer both (12(8 pts) Find parametric equations of the line through the point (2, -1,3) and perpendicular to the line with parametric equations 1-t,y 4- 2t and 3+ t and perpendicular to th...
please answer both
(12(8 pts) Find parametric equations of the line through the point (2, -1,3) and perpendicular to the line with parametric equations 1-t,y 4- 2t and 3+ t and perpendicular to the line with parametric equations 3+t,y 2-t and z 3+2t. (13)(8 pts) Find the unit tangent vector (T(t) for the vector function r(t) - costi+3t j+ 2sin 2t k at the point where t 0
(12(8 pts) Find parametric equations of the line through the point (2,...
(1 point) (A) Find the parametric equations for the line through the point P = (-4,...
(1 point) (A) Find the parametric equations for the line through the point P = (-4, 4, 3) that is perpendicular to the plane 4.0 - 4y - 4x=1. Use "t" as your variable, t = 0 should correspond to P, and the velocity vector of the line should be the same as the standard normal vector of the plane. (B) At what point Q does this line intersect the yz-plane? Q=(
4. (10 points) (a) Find a parametric equation and symmetric equation of the line that pases...
4. (10 points) (a) Find a parametric equation and symmetric equation of the line that pases through the point (2, -1, 3) and is parallel to the vector 7 +27 -37. (b) At what points does this line intersect the yz-plane?
(1 pt) (A) Find the parametric equations for the line through the point P = (2,...
(1 pt) (A) Find the parametric equations for the line through the point P = (2, 3, 4) that is perpendicular to the plane 2x + 1 y + 3z 1 . Use 't', as your variable, t 0 should correspond to P, and the velocity vector of the line should be the same as the standard normal vector of the plane. X= y- (B) At what point Q does this line intersect the yz-plane?
Let L be the line with parametric equations x=-5 y=-6- z=9-t Find the vector equation for...
Let L be the line with parametric equations x=-5 y=-6- z=9-t Find the vector equation for a line that passes through the point P=(-3, 10, 10) and intersects L at a point that is distance 5 from the point Q=(-5, -6, 9). Note that there are two possible correct answers. Use the square root symbol 'V' where needed to give an exact value for your answer. 8 N
(1 point) Give a vector parametric equation for the line that passes through the point (1, -5, -1), parallel to the line parametrized by (-3 – t, 1+ 4t, 4+t): L(t) =
(1 pt) Find a vector equation for the line through the point P = (1, -2, 3) and parallel to the vector v = (-3, 2, -3). Assume r(0) = li – 2 + 3k and that v is the velocity vector of the line.. r(t) = i + j+ Rewrite this in terms of the parametric equations for the line. X < N
Equations of Lines For problems 3 & 4 give the vector and parametric form of the equation of given line. *4. The line that passes through (10,-8, 14) and is parallel to r(t)=(9,-3+6t, 141).
1. Find the vector equation of the line (a) through the point (1, 3) with gradient 2, (b) through the points (3,-5) and (-2, 4), (c) * through the point (2,-1) and parallel to the line r. (41 – 3j) – 2 = 0, (d) through the point (-3,6) and perpendicular to the line 3x - 5y = 7
Find a vector equation and parametric equations for the line segment that joins P to Q. (D |-1+2-) 1 P(0, -1, 4) 4 -t.2 3 t. r(t) 4 vector equation X 7 4 t.2 3 1 - t. (x(t), y(t), z(t)) 4 X - parametric equations 2 If two objects travel through space along two different curves, it's often important to know whether they will collide. (Will a missile hit its moving target? Will two aircraft collide?) The curves might...
please answer both
(12(8 pts) Find parametric equations of the line through the point (2, -1,3) and perpendicular to the line with parametric equations 1-t,y 4- 2t and 3+ t and perpendicular to the line with parametric equations 3+t,y 2-t and z 3+2t. (13)(8 pts) Find the unit tangent vector (T(t) for the vector function r(t) - costi+3t j+ 2sin 2t k at the point where t 0
(12(8 pts) Find parametric equations of the line through the point (2,...
(1 point) (A) Find the parametric equations for the line through the point P = (-4, 4, 3) that is perpendicular to the plane 4.0 - 4y - 4x=1. Use "t" as your variable, t = 0 should correspond to P, and the velocity vector of the line should be the same as the standard normal vector of the plane. (B) At what point Q does this line intersect the yz-plane? Q=(
4. (10 points) (a) Find a parametric equation and symmetric equation of the line that pases through the point (2, -1, 3) and is parallel to the vector 7 +27 -37. (b) At what points does this line intersect the yz-plane?
(1 pt) (A) Find the parametric equations for the line through the point P = (2, 3, 4) that is perpendicular to the plane 2x + 1 y + 3z 1 . Use 't', as your variable, t 0 should correspond to P, and the velocity vector of the line should be the same as the standard normal vector of the plane. X= y- (B) At what point Q does this line intersect the yz-plane?
Let L be the line with parametric equations x=-5 y=-6- z=9-t Find the vector equation for a line that passes through the point P=(-3, 10, 10) and intersects L at a point that is distance 5 from the point Q=(-5, -6, 9). Note that there are two possible correct answers. Use the square root symbol 'V' where needed to give an exact value for your answer. 8 N
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