B 10. Write a vector equation and parametric equations for a plane that satisfies each set of conditions. a) contains the point Po(2, -4, 6); has direction vectors à = [6, -7, 0] and b= [4, 1, 3] 6 contains the point Po(-5, 9, -3); is allel to the lines [x. v. z] =

Q: Find three different pairs of parametric equations for the line segmentthat starts at (0, 0) and…

A: Direction ratio is = (6-0, 6-0)= (6,6) That is equivalent to (1,1) , (2,2) and (3,3)

Q: 2. Find an equation (parametric and vector form) of the line if the line is perpendicular to the…

A:

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

A:

Q: The unit vector of the PQ (of point P(-3, 4, 1) and terminal point Q(-5, 2, 2)). - The angle between…

A: here we have

Q: Given the points A(7, -2, -9 ) and B( 7, −2, 2 ). Question 3 a) [:] Write parametric and symmetric…

A: We have to find the equation of line and intersection of line and plane.

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 the equation of the plane through (-1 6, 2) and perpendi cular to the jain of (1, 2, 3) and…

A:

Q: 2. Given a line that passes through the point (-2,1,3) and is parallel to the line joining A(1,5,3)…

A:

Q: Given a point M = (5,–3,–2) on a line in space and a parallel vector to the line defined as vector d…

A: Parametric equations of a line  in 3-D space are given byx = x0 + t a , y = y0 + t b , z = z0 + t c…

Q: Find an equation of the plane pirpendicular to the line through (2,2,-4) and (9, "1, 3) and…

A:

Q: 3+z Given the points R (1, -1, -3), the vector v = and the line d: ¯x+¹=1+y= 3 2 3. Calculate the…

A:

Q: 2. Find the equation of the planes: a) (in general form) that goes through the three points A(4, 0,…

A:

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

A:

Q: Write the parametric equations of the line through the point (1,2,3) parallel to the vector a =.…

A:

Q: :Find the equation of the plane through (-1, 6, 2) and perpendi cular to the jain of (1, 2, 3) and…

A: Given,           The equation of the pane through -1,6,1 and perpendicular to the join            of…