The intersection of the two planes given by the vector equations -(1)-² r. = 2 0 and 2 ()- 0 r. is 2 = 1 a. a line passing through the point (1,1,1) O b. the empty set O c. a plane O d. a point O e. the line 3x=y-1 =z

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: Write the vector equation of the line defined by the following points. (25,17,42)and(-16, 12, 25)

A: Answer is given below :-Explanation:To find the vector equation of the line passing through two…

Q: 40. Given a = (3, –4) and 5 = (1, 2). Find the vector a + 25. O a. (5,-8) Оь. ( 5,0) O c. (4,-4) O…

A:

Q: Find the symmetric equation for the line through the point of (2.-5,4)and a vector (3,–1,-3).

A: Given the vector is, 3,-1,-3 And the point is, (2,-5,4). The parametric equation for…

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: If P1 is (1,3,-1) and P2 is (-3,2,4), find the vector equation of the line P1P2. Determine the…

A:

Q: 40. Given a = (3,-4) and b = (1, 2). Find the vector a + 2b a. (5,-8) b.(5,0) c.(4,-4) d. (4,0)

A: Given,

Q: The intersection of the two planes given by the vector equations 2 -(1)- r. 0 and r. is 4 0 = 3 = 0…

A: In general if two plane are intersect then the intersection of two plane is a straight line. But if…

Q: Describe the graph of the equation. r = (6 – 21) i+ 10rj O It is a line in 2-space through the point…

A: Solution :-

Q: Determine the vector 8a – 7b if a = -3i + 2j – 4k and b = 5i + 6j + 2k. 8a – 7b help (vectors)

A:

Q: a = 2 ,8 ,2 ,−2 ,−4 ,−3 ,−11, −4 ,9 ,7 and b = 8,−1 . SOLVE Ax =b for x , and write x in…

A:

Q: Sketch the vectors = (2, 3,-6) and w = (-1,1,1) and draw -U, v + w and 7 - w.

A: The given vectors are

Q: 3. If a = 3x - 5y and b=-2x+9y, write the vector 5a-8b in terms of x and y

A:

Q: The intersection of the two planes given by the vector equations -3 A r. -2 -3 2 and -6 r. -4 = -2 4…

A:

Q: Q1(A): 19 Marks] Two vectors A and B are located at Pi(2,2,2) and P2(2,-2,-2). Write vector notation…

A: Two vectors A and B are located at P(2,2,2) and P2(2,-2,-2). Write vector notation for each starting…

Q: Which equations below represent the line in R³ that passes through the point (-3, 5,-5) and is…

A:

Q: A line contains the points P=(−6,−2,−3)P=(-6,-2,-3) and Q=(−4,−3,−6)Q=(-4,-3,-6). A vector equation…

A: