13. B(2, 6) C(8,3) A(-5, -1) Dx, y) Find the coordinates of the point D

Q: 5) Find the angle between the lines. y+2 %3D z-5 2x – 3 = y + 9 = 2z + 7 & x +1 = | 2 2.

A: Putting the value of drs of line , we can get angle

Q: Find the distance from the point s(1,-6,2)to the line x = 2 + 3t, y = -4 + t,z = –2t Ans >>d=1.79

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Q: 1. Reflect the point (2, -4) over the y- axis. O a) (-4, 2) O b) (-2, 4) O c) (-2, -4) O d) (2, 4)

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Q: А Q(1, 1) в Q(2, 0) vyQ(1, y) 3xQ(x, 2)

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Q: 4. Find the distance between the two points S(-5,-2) and T(-3,4).

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Q: 4 TA 2 -6 -4 -2 2/ 4 6. -2 -4

A: We can find the coordinate of the image of B as below.

Q: 15. Reflect the point (2, -4) over the y- axis. a) (-4, 2) O b) (-2, 4) O c) (-2, -4) O d) (2, 4)

A:

Q: 8. The distance between the planes 2r-y-2z 5 and 2r – y - 2z = 7 is A C 2 9 dn 24

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Q: Evaluate [(-x+y + 2)dx + (x+y-2)dy + (x-y+z) dz where C is the line segment from (-1, 2, 3) to…

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Q: 4. If A = 3xyz²i + 2xy³j- x²yzk and p = 3x² - yz, find (a) V-A, (b) A-V4, (c) V-(Vo) at point (1,-1,…

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Q: 15. In AXYZ, XY YZ and m/XYZ = 46*. %3D 46

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Q: dw dw Find ду at the point (w, x, y, z) = (- 4,1, - 1,1) if w = 4x y + 4yz - 4z° and x? + y? + z² =…

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Q: 8) Find the distance from the point S(0,0,0) to the line through(-1,-1,2) parallel tov = 31 + k.

A: The given point S(0, 0, 0) The given line passes (-1, - 1, 2) parallel to v = 3i + k

Q: 9. Find a point on the y-axis which is equidistant from the point A (6,5) and B (-4,3).

A:

Q: 23. The distance from a point (2, y) to the line 4x + 3y =0 is equal to 5. Find the value of y. O…

A: Given that the distance from a point 2,y to the line 4x+3y=0 isequal to 5. We need to find the value…

Q: Find the distance from the point (1,1,5) to the line x=1+t, y= 3-t, z=2t O 2.236 O 0.36 O 36

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Q: 3. The line L is parallel to the line x t, y 2t, z =3 and passing through the origin.

A:

Q: Sc 7ydx + 3z dy where C is the straight line path from (2, 4) to (4, 7).

A: The parametric equation of the straight line between the points (a,b), (c,d) is x-ac-a=y-bd-b=t,…

Q: 6 of 19 Write the equation of a circle with centre (-8,-3) which is tangent to the x-axis. O (x –…

A: A detailed solution is given below

Q: 21. Reflect in the y-axis. 5- 4- 2+ х -2 -3+ -4 T'(2, 2), V'(4, 1), W'(5, 4), X'(0, 4) b. T(-2, -2),…

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Q: 1. The lines 4: x=1-t, y=2+t, z=-2-t; 12:x=3+s, y=-1+s, z = 2s are skew.

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Q: Separate ỷ into y and y if y is in the direction of u %3D

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Q: 15. Reflect the point (2, -4) over the y- axis. O a) (-4, 2) O b) (-2, 4) O c) (-2, -4) O d) (2, 4)

A: We know that the reflection of a point about the y-axis makes the x-coordinate negative. So, the…

Q: 3- The line jaining the origin and Point_of intersection of the linesr(X=l+2t_ ys-3+4Ł,2=t) aul (x-…

A: Given that: Lines are: L1: (x=1+2t, y=-3+4t, z=t) and L2: (x=-2+3t, y=-5+3t, z=-12+34t)

Q: roblem 4.1 Find the point on the line y = 2x + 3 that is closest to the origin.

A:

Q: fc z2 dx+ x2 dy +y2 dz, C is the line segment from (1,0,0) to  (4,1,2)

A: Given, r(t)=z2dx+x2dy+y2dz We have the line segment from (1,0,0) to (4,1,2) We parametrize the given…

Q: Evaluate S(-x+y+z) dx + (x+y-3) dy + (x-y+z) dz where C is the line segment from (-1, 2, 3) to…

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Q: et y = [ 2   3   -1] and u = [ 2   -6   -6] compute the distance d from y to the line through u and…

A: first we shall find equation of line then find distance from line of that point

Q: What is the distance between points D(-10, 2) and E(6, 10)? O 20 O 10v2 O 8v5 O 16 O Option 1

A:

Q: 4. The tangent of the acute angle between the lines y= 4x- 3 and y=x-5 is А. 5 В. C. 3 D. 5

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Q: 5. The point P(0.31 ,±y)is

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Q: shows the image of (D2 • Ry-axis)(4, -3)?

A: D2∘Ry-axis4,-3 this means 4,-3will be reflected over the y-axis. And then it will be dilated by 2.…

Q: Evaluate S(-x+y+z)dx + (x+y-z)dy + (x-y+z) dz where C is the line segment from (-1, 2, 3) to (3,-2,…

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Q: 2- The distance d from the point R=(1,4,-3) to the line L: x=2+t,y%3-1-t Z- 3t is 4.43 False True

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Q: The equation of a line perpendicular to 4x+7y– 63 =0 is Oy- z 6 Oy--- I. Oy =z+

A: See the details solution in below

Q: 9. Reflect the point (3, 2) over the following axes or lines. Reflection Over New Coordinates x -…

A: Definition used -                    Reflection of a point over the x-axis -…

Q: Find the line through (1,-1,1)and normal to the line  3x=2y=z , and parallel to the plance  x+y-z=0…

A: Equation of the line: The equation of a line passing through the point (x0, y0, z0) is given by (x,…

Q: 26 + 4z4 – 2z2 +1 dz (z – 2i)6

A:

Q: 7. The line through the points and (2, 1, –3) Answer + 1 x = 2 + 2t, y =1+ t, z = -3 - 4t; (x – 2)/2…

A: The given point is: 0,12,1, and 2,1,-3 To find the equation of the line.

Q: Suppose ABC is reflected across the line x = -1. What are the coordinates for the image of A?

A: There is no change in y coordinates while taking mirror image across x = k.

Q: What is the sum of the abscissas of the points where the tangents of the y=(1/3) x^3-(3/2) x^2 – 2x…

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Q: O, x = 2, y = dy dz is

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Q: 13. Evaluate (2x + y + 3z) ds, where C is the straight line from (0, 1, 1) to (1,0, 1).

A: we have to evaluate

Q: 8. y- -x+4 , x=0, y=o, about the (x 20) y axis

A: y=-x2+4 and x≥0 ,x=0,y=0 about y axis

Q: 5. If y = In(x + y), find y' at the point (x, y) = (e – 1,1).

A:

Q: What are the coordinates of the points in the graph of y? - r + 6z – 13 = 0 in which the tangent…

A: Tangent is horizontal at that point where derivative of function of zero

Q: What is the equation of a line that goes through the point (0, 2) and has a sloj y = - x + 2 y = 2x…

A:

Q: 16. Find the points of intersection of x' = 4y and y= 4x. (as:(0,0,(16,64)

A: My Dear student according to the rules of Bartleby we can solve only one question post others as a…