e|| x°zdS, where S is the part of the plane z = 1+ 4x + 2y above the rectangle [0, 4] x [0, 2] Evaluate

Q: Q3: Find the distance between the origin and the plane containing the points A(1,1,0), B(-1,0,1) and…

A: Find the distance between the origin and plane containing the points A(1,1,0) , B(-1,0,1) and…

Q: T1 :3x + 2y+5z = 4 2: Contains the points A(1, 2, 1), B(0, –1, –4), C(3, 5, 2)

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Q: (b) Prove that Vx, y ≤R : x² + xy + y² ≥ 0, and that x² + xy + y² = 0 if and only if x = y = 0.…

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Q: Find the point at which the line (-3, 3, 0) + t(-2, –3, –2) intersects the plane -2x – y + 3z = 5.

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Q: Let V₁ = -4 1 | -12 B-B- V2 = 4 -3 11 -5 " and y = For what value of h is y in the plane spanned by…

A: and We have to find the value of .

Q: Find the point at which the line (4, –1, 4) + t(4, 2, 3) intersects the plane 4x 5y + z = 88.

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Q: What is the direction perpendicular to the plane containing F₁ and F₂? F₁ = (11î+ 4ĵ- k) N F₂ =…

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: Find the point of intersection between the line r(t) = + t and the plane 4x + 5y + 3z = 5. o a. (…

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Q: Find the intersection of the plane x - X = y = - 4y - 5z = -137 and the line r(t) = (5, −5, −4)t +…

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Q: Sketch the set of points in the plane which satisfy the equation y + 2 = 3(x − 4)

A: We have to draw the graph for y+2=3(x-4)

Q: For each pair of integers a and b, find integers x and y such that ax + by = gcd(a, b) 1. a = 207, b…

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: Let a₁ = 1 4 -1 a₂= The value(s) of h is(are) - 24 3 and b = 4 0 h For what value(s) of h is b in…

A: Given that: a1=14−1, a2=−7−243, b=40h To find the value of h if b is the vector in the plane spanned…

Q: Q1 Let P be a point not on the plane that passes through the points Q, R and S. Show that the…

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