Find the curve describing a straight line going through the points P:(1,1,1) and Q :(-3,4,1) Hint:...

Question

Question

math Advanced-Math

Answer 1

Answer #1

The equation of a line with direction vector d = cd,m,n) that pass through the point (x, y, z) is given by the formula Cx-Xq,

Answer 2

Similar Homework Help Questions

Let l denote the line through the origin with direction vector (1,1,1). Let r(t) = (t...

Let l denote the line through the origin with direction vector (1,1,1). Let r(t) = (t +1,4, 2t) be a parametrized curve. Compute the point r(to) on the curve which is closest to l, and state the distance from r(to) to l.
Q2. Let u and v be non-parallel vectors in Rn and define Suv (a) Does the point r lie on the straight line through q with direction vector p? (b) Does the point s lie on the straight line through...

Q2. Let u and v be non-parallel vectors in Rn and define Suv (a) Does the point r lie on the straight line through q with direction vector p? (b) Does the point s lie on the straight line through q with direction vector p? (c) Prove that the vectors s and p -r are parallel. (d) Find the intersection point of the line {q+λ p | λ E R} and the line through the points u and v. Q3....
Find the three angles of the triangle with the given vertices: P(1,1,1), Q(1,−5,2), and R(−2,2,6) Find...

Find the three angles of the triangle with the given vertices: P(1,1,1), Q(1,−5,2), and R(−2,2,6) Find a nonzero vector orthogonal to the plane through the points: A=(0,1,−1), B=(0,6,−5), C=(4,−3,−4)

Show that a straight supply curve going through the origin has the price elasticity of supply...

Show that a straight supply curve going through the origin has the price elasticity of supply equals to 1 at every point. (Hint: assume a function of P=aQ+b where a>0 and b=0)
The figure below shows a curve C, parametrized by (a) The point P lies on C, and its r-coordinate is 4. Find the value of t at the point P according to the parametrization, and find the y-coordinate...

The figure below shows a curve C, parametrized by (a) The point P lies on C, and its r-coordinate is 4. Find the value of t at the point P according to the parametrization, and find the y-coordinate of P. equation in terms of r and y. line 4. as shown shaded in the figure. Find the area of R. (b) The line is normal to C at the point P. Express the line l using an (c) The bounded...
Find the equation of the line passing through the point (1,1,1) which is perpendicular to the...

Find the equation of the line passing through the point (1,1,1) which is perpendicular to the plane containing the points (1,0,0), (2,1,1) and (1,1,2).

Find the line integrals of F=3yi + 4xj + 2zk from (0,0,0) to (1,1,1) over each...

Find the line integrals of F=3yi + 4xj + 2zk from (0,0,0) to (1,1,1) over each of the following paths. a. The straight-line path Cy: r(t) = ti + tj + tk, Osts 1 b. The curved path Cz: r(t) = Osts1 c. The path C, UC, consisting of the line segment from (0,0,0) to (1,1,0) followed by the segment from (1,1,0) to (1,1,1) (0,0,0) (1.1.1)
- PLEASE SHOW ALL STEPS - PLEASE ANSWER ALL PARTS FOR THE QUESTION Find a function...

- PLEASE SHOW ALL STEPS - PLEASE ANSWER ALL PARTS FOR THE QUESTION Find a function r(t) for the line passing through the points P(0,0,0) and Q(3,4,1). Express your answer in terms of i, j, and k. r(t) = 3ti + + k, for
Find a vector parametric equation F(t) for the line through the points P= (1,1, 4) and...

Find a vector parametric equation F(t) for the line through the points P= (1,1, 4) and Q = (-2,-2,8) for each of the given conditions on the parameter t. (a) If 7(0) = (1,1, 4) and 7(5) = (-2,-2,8), then F(t) = HI (b) lf F(7) = P and 7(11) = Q, then F(t) = HI -2, respectively, then (C) If the points P and Q correspond to the parameter values t = 0 and t F(t) =

4. Let point P(2,1,12) and Q be points on the curve r(t)=(5-31, 41-3,12t). Find the coordinates...

4. Let point P(2,1,12) and Q be points on the curve r(t)=(5-31, 41-3,12t). Find the coordinates of point Q such that the arc length of curve r from P to Q is 4 units. Write your final answer as an ordered triple.