(a) Find a vector n perpendicular to the plane z = 8x + 9y. <-1,-1,-1> (b) Find a vector v parallel to the plane. <-1,1,1>

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Q: Find a vector parallel to the line of intersection of the planes 2x + 3y – = =11 and 4x + 2y – 3= =…

A: Topic:- vector

Q: Consider the planes 5x+ 5y+ 3z = 1 and 5x + 3z = 0 (A) Find the unique point P on the y-axis which…

A: a) The y-axis has x and z values of 0. Note that that immediately works for the second plane5x+3z =…

Q: snip

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A: Here we have to find the vector equation for the line of intersection of the planes x+4y+z = -5 and…

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A: Find a vector of magnitude 2 parallel to the line of intersection of the planes x + 2y + z - 1 = 0…

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Q: Q1. Given three vectors A = -a,+2a,+3a, B = 3a,+4a,+5a, and C = 2a, -2a,+7a,, compute : a) Angle…

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Q: Show that the vector v = [a, b, c]* is perpendicular to the plane P with equation ax + by + cz + d =…

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Q: Find the vector equation of the line of intersection of the planes x+y+z=1 and x+2y+2z=1.

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Q: (a) Find a vector n perpendicular to the plane z = 8x + 9y. n = (b) Find a vector v parallel to the…

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Q: Find a vector function, r(t), that represents the curve of intersection of the two surfaces. The…

A: Given: The cylinder x2 + y2 = 25 Surface z = xy

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Q: Find a vector equation with parameter t for the line of intersection of the planes x + y + z = 4 and…

A: To find the equation of line with parameter t of the intersection of the planes  x + y + z =4 and…

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A: To find the equation of line intersection of given planes.

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A: Given plane equations are  x + y + z = 3 and x + z = 0. We have to find the intersection line…

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Q: (a) Find the y-intercept of the line in 2- space that is represented by the vector equation r = (3 +…

A: Given : a) The line in 2- space that is represented by the vector equation r = (3 + 2t)i + 5tj .

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Q: Find the vector equation for the line of intersection of the planes 2x – 2y – 5z = 5 and 2a + 2z = 1

A: Given  equation of planes 2x-2y-5z=5 2x+2z=1

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Q: What is a vector that is normal to the plane 4x+6(y-100)+7(z-200)=20? O A. 4i+6j-20 k O B. 8i+ 12 j…

A: Given query is to find the normal vector.

Q: Find the vector equation that represents the curve of intersection of the paraboloid z 2x2 + y and…

A: z=2x2+y2  &amp; x=ey We can see that y can be represented in terms of x.

Q: Find an equation of the plane that contains the point (-1, 2, 3) and is perpendicular to the line…

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Q: (c) Find the vector equation of the line of intersection of the planes x-2y+z=0 and x+y=z= 1.

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Q: A 4550kg aircraft generates a mid-flight thrust given by the vector F; 2j + 3.8k kN. It is…

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Q: Find the vector equation that represents the curve of intersection of the paraboloid z = 4x² + y²…

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Q: . The line (x-2z 3, y 22) intersects the plane (x+3y-:+4=0) at the point P, Find: (a) the…

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Q: Q1A) The vectors A = 3i + j + 4k, B = 2i - 3j - k, find vector normal to A and In plane of A and, B.

A: Solution is given below:

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A: An equation of a plane 2X + 2Z - 4Y = 3 To Find: Unit vector perpendicular to the  given plane…

Q: Find the vector equation of the line of intersection of the planes x+y+z = 1 and x+2y + 2z = 1.

A: The equation of the line vector of the intersection of 2 planes can be calculated using the cross…

Q: A force F = 2i + j - 3k is applied to a spacecraft with velocity vector v = 3i - j . Express F as a…

A: We have given the force F = 2i + j - 3k with velocity vector v = 3i – j.

Q: Find the vector equation that represents the curve of intersection of the paraboloid z = 4x2 + y and…

A: The given curves are: z=4x2+y2     and     x=ey

Q: Find the vector equation for the line of intersection of the planes x – 5y + 2z = 1 and æ + z = 1 |…

A: To find the vector equation of the line of intersection of given planes.