tine (a) find the angle between the x = ² + 3² + (-k) + A (C=j+ k) and plane riz₁+1=j) + k) = 9 6 Find the equation of a plame containing the time of interection of Planos x+y+z=6 22 + 3y +43 =-5 Pessing through (1,1) and

Q: 3Q: If z₁ = 1.5 cisand z₂ = 4 cis(-7) find and express it in the rectangular form.

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Q: What is the distance from the point P=(2, -1, 4) to the plane 3x+5y-2z =20

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Q: Rectangle KLMN is translated -5 units vertically and then reflected over the y-axis. What…

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Q: Find the point in which the line X = 2, y = 3 + 2t, z = -2 – 2t; meets the plane 6х + Зу - 4z 3 -12…

A: The point of intersection will satisfy the line as well as the Planes equation.

Q: Which point(s) lie in the plane 2x + y - z = 10? a) (0, 0, 10) c) (2, 4, - 2) b) (5, 3, - 3) d) (-3,…

A: Given:plane: 2x+y-z=10

Q: Find the equation of the sphere of radius 8 centered at (1, 3, 6). O x² + y² +z² = 46 O x² + y² + z²…

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Q: (9, - 플이 2

A: Given, the  point (r, θ, z)=(9, -π2, 8).

Q: Q4-Find the Cartesian equation of the line that passes through the point (-3, 2,-1) and is parallel…

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Q: 7. Let z = -3 + 5i. Plot the points z,-z,7,-ž and - in the complex plane.

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Q: △ABC△ABC has vertices A(0,4), B(6,-1), and C(3,7). What are the coordinates of C' when the triangle…

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Q: y -1 Q2) L, =Xx2 = -1 - 2 Fand equation of plane Canternng them

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Q: a) Find an equation of the sphere with center (1.-3,-5) and tangent to xz-plane.

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Q: b) Find the intersection point of the line Lix-1.y-3+t, z4+2t with xz-plane.

A: Here we have given equation of line and we have to find the point of intersection of given line with…

Q: 3 a AB: 4x + 5y = 13; midpoint (2, 1)

A: The equation of the line is 4x+5y=13. The midpoint of the line is 2, 1.

Q: 9. Plot these three coordinate points on the given Cartesian Plane: (2,3) (-2,1) (4,-1) Join the…

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Q: Q2) L, - X+2 +2 ー1 - 2 Frand equaton of plane Coudentg

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Q: find the xy equation of all three sides of triangle ABC with verticies  A= (1,5)  B= (3, -1)  C=…

A: The given triangle is  now we have to find the equation of lines AB,AC,and BC

Q: Using projection(s), find the distance between the point (0, −2) and the line 3x −2y + 5 = 0 (that…

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Q: Find the distance from the point Q = (4, -3,5) to the plane - 2x-3y + 2z=6 □

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Q: (2, 1) is the midpoint of AB, in which A has coordinates (8, 10). Find the coordinates of B.

A: given: (2,1) is the mid point of AB. the coordinates of A are (8,10) we have to find the coordinates…