Find a parametric equation of the line M through p and q for the given values of p and q. [Hint: M is parallel to the vector q- p shown in the figure.] - 2 H[HA] , q= 5 p= 0 -5 -p q-p

Find a point Q such that (i) P Q has the same direction as v. (ii)P Q has the opposite direction as v. Here:

Help with 3 and 4

Find a parametric equation of the line M through p and q for the given values of p and q. [Hint: M is parallel to the vector q-p shown in the figure.] X2 - 5 p = q = 2 - 4 - p q-p ... x=+O(tin R) X =

Find a parametric equation of the line M through p and q for the given values of p and q. [Hint: M is parallel to the vector q - p shown in the figure.] p= - 6 0 CHA q= 2 -4 X = =+t(t in R)

Give the vector equation of the line passing through P and Q. P = (2,-2), Q = (4,0) X = + t

Find the equation of the line L that passes throught point P ( – 4, 3, 7) and Q( – 8, 1, − 5). Enter your answers as vectors. r(t) = + t There are two possibles answers: or Show me your work how you can have either one of the answers by using a math editor or uploading the image of your work.

p1-2-is-the-image-of-p-after-a-translation-along-the-vector-8-0.-what-are-the-coordinates-

Describe the graph of the equation. r = (6 – 21) i+ 10rj O It is a line in 2-space through the point (6, 2) and parallel to the vector V = 10j. O Itis a plane in 2-space through the point (-2, 10) and parallel to the vector v = 6i. O Itis a line in 2-space through the point (6, 0) and parallel to the vector v = - 2i+ 10j. O Itis a line in 2-space through the point (-2, 10) and parallel to the vector v = 6i. O It is a plane in 2-space through the point (6, 0) and parallel to the vector v = -2i + 10j.

Find the equation of the line that passes through the point ( 8, 8, 2) and parallel to the vector . O a. 8x + 8y + 2z = 124 o b. 9x + 6y + 2z = 124 O c. r(t) = + t o d. r(t) = + t