The plane with normal vector (0, – 2, – 4) containing the point (-7,4,-3) has equation Aæ + By + Cz = D. If A = 0 find the following: %3D B = C = D || ||

Q: Which of the following vectors is parallel to the line 7x+ 14y = 20? %3D (-6,3) (8,-16) (2,4) 0.…

A: We first find the slope of the line using y=mx+b form

Q: Express the vector == 7= Z+ y. -22] 10 as a linear combination of = -(-3) and y=

A: Consider the vector v→=-2210. To express it as linear combination of vectors x→=-4-5 and y→=1-5.…

Q: Give the vector equation of the line passing through P and Q. P = (5,2), Q = (3, 0) X = + t 00

A: To find the vector equation of the line passing through P and Q.P=5, 2, Q=3, 0

Q: Graph the two vectors x= (5, 1,3) and y=(-1,3,1

A: Topic:- 3D

Q: Find the vector equation of the line through the points P0(x0, y0, z0) and P1(x1, y1, z1).

A: P0x0, y0, z0 & P1x1, y1, z1. Now let a→ & b→ be the position vectors of the points P0x0, y0,…

Q: Find a direction vector for the line containing the origin (0, 0, 0) and the point (2, 3, – 1).

A: The given points are 0,0,0  and  2,3,-1

Q: Find the vector and parametric equations of the line through the points A = (2,4,7) and B =…

A:

Q: P= (2,-2), Q = (4,0) ∙8-8 t X =

A: Vector equation of a line passing through two points with position vectors P(2,-2) and Q(4,0)…

Q: Find the vector equation of the line that contains the points (-17, 10,2). r(t)= ( ) +t ( and

A: Answer :

Q: Give the vector equation of the line passing through P and Q. P= (3, 1), Q = (2, 0) X = + t

A: