For Problems 17 through 20, find the angle between the position vectors to the two given points. Sketch. 17. (1, 7) and (5, 2) 18. (-3, 5) and (6, 1) 19. (-1, 3) and (-4, -5) 20. (-2, -5) аnd (1, -4)

Q: What are the coordinates of P(23t/2)? А. (-1, 0) В. (1, 0) С. (0,1) D.(0,-1)

A: Solution

Q: . Find the equation of the line joining the points (4, 9) and (-1, 0)

A:

Q: r1(t) = (3, –6, 2) +t (-4, 2, –4) r2(t) = (-3, 3, – 10) + t (2, 1, 0) Find the point of…

A: Lines r1 and r2 can be rewritten as follows:

Q: If A is (1, -5) and B is (9, 11), find the point that is % of the way from A to B. О а. (-5, 6) O b.…

A: We have A=1,-5, B=9,11 Now, we need to find a point which is 3/4 of the way from A to B We see that…

Q: 8. Find an equation for the line parallel to the line y=-3x and containing the point (-1,2).

A:

Q: 39. Given a = (3, -4) and b = (1, 2). Find the vector 2 a. (3,4) a. b. 2,4) c. (6,-8) d. (5,-2)

A: From the given statement,

Q: Find the point of the way from (8.-3. 1) to (-6.-10.-3). 0 P=0 0

A:

Q: x2-5х-6 y = (х+3) (х-3)

A: y=x2-5x-6x+3x-3 We have to find the values of x at which the given y is discontinuous.

Q: 35. For m = (-5, -6) and = (6, −9) find the sum of the vector three times the magnitude of m and the…

A:

Q: For problems 6 and 7, use the points P(-3, 4,2), Q(-1,6, 2), R(5,3, -1) 6. Find a vector…

A:

Q: a. { (5, -3 ), ( -5, 0 ), ( 5, 8 ), ( 3, 2) } b. { (2,0 ), (4, 6), ( - 3, 6 ) , (5, 9 )}

A:

Q: (5, 0) (-2,-5)

A:

Q: The coordinates of the missing point are A. (4, 4) В. (5, 4) (-1,4) (?, ?) С. (6, 4) D. (7, 4) x+ 3…

A: topic- sketch of a figure distance between x=3 and (-1,4) is 3-(-1)=3+1=4 x-coordinates of missing…

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: Plane continued 32. (-5, 2) and (1, 4) 33. (1, 3) and (6, 1) Ay -4 4 -2 -2 -4 -2 -2 2 -2 -2 34. (0,…

A:

Q: Find an expression for the exact angle 0 between u and v when = (4,7) and v = (-5, 8). (3, –1, 1)…

A:

Q: Find an equation of the line passing through the given points. (1, 1), (8, - 2) y=--

A: The line passing through the points (1,1) , 8,-34

Q: Find the equation of a line through the coordinate (3,- 2) and parallel to the line represented y =

A: y = (1/2)x -2   ...i Equation of line parallel to ....i is  y= (1/2)x + c ( where c is constant) If…

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: 4. (0, 0), (4, 3) 5. (0,-7), (5, 5) 6. (4, 2). (-1, 5) 7. (-5, 6). (-7,-2) 8. (-1,-3), (9, 0) 9.…

A:

Q: Find the distance between the two points. 4. (0, 0), (4, 3) 5. (0,-7), (5, 5) 6. (4, 2), (-1, 5) 7.…

A: