Find the equation of the plane containing the point ( – 5, – 10, 9) and the two vectors < 4, 0, – 3 > and < 0, – 5, – 1> -

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

A: To Find an equation of the plane that passes through the given point (1, 3, -7). First, convert the…

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: Find the vector equation of the line of intersection, if it exists, for each pair of planes. a. 2x…

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Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: Find the sum of the given vectors. а - (4, 0, 1), ь - (0, 5, 0) a + b Illustrate geometrically. a +b…

A: Given  The vectors  are  a =(4 ,0 ,1)  and  b= ( 0 , 5 , 0)

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

A: Given that point 2,6,-8   and vector or line ,n=jTo  find : equation of plane Solution :Direction of…

Q: The figure shows two vectors in the xy-plane with |u| = 3 and v = 4 Which of the following could be…

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Q: Find the angle between the diagonals of a parallelogram constructed on the vectors a=2 i +j and b=-2…

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Q: [:] [] Find c so that the vectors and are parallel.

A: Find c so that the vectors c4 and 25  are parallel. Let u=c4 and v= 25 be two vectors. Two vectors…

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

A: point = (3,5,-7)n=0 i +1 j + 0 kCartesian equation of plane is Ax+By+Cz+D=0(A,B,C)=( 0,1,0)(x,y,z) =…

Q: Find the magnitude of x- and y- components of the given vectors. Sketch the vectors.   A= 29.8 m,…

A: The solution of above question is written below.

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

A: Question is solved.

Q: Find the vector equation for the line of intersection of the planes 32 + 2y :0 ánd 3* + ,0 ) +t(6, r…

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

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

A: Given: (2,3,-6) Perpendicular to j vector

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: Find the vectors T, N, B at the given point where 0sts 2n. (1 3/3 8' r(t) =

A: We want to find the unit tangent vector , normal vector and Binormal vector

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: Write an expression for a vector five units long, parallel to the plane 3x + 4y + 5z = 10 and…

A: According to the given information it is required to find a vector which parallel to a plane and…

Q: Match the vectors p, q, 7, s, and t with one of the combinations of the u and i vectors from the…

A: Since you have asked a question with multiple parts in a single request we would be answering only…

Q: 2. Consider the two vectors a and b, as graphed below. 2a Plot the result of a +b on the same axes.…

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Q: Find the equation of the plane that passes through the point P(1, 0, 2) and contains the line whose…

A: Hi there, At a time we can answer only one question. So, I have answered first one (#6).

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: Find a vector that is perpendicular to both and 2. A =-i - 2j +4k B = 4i - j

A: Take cross product and it's magnitude then find unit vector in perpendicular to both vector

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

A: The plane is perpendicular to the line, then the direction vector of the line is normal to the…

Q: Find the equation of the plane passes through the point P(4,2,1) and perpendicular to the vector…

A: Equation of the plane passing through point P(x0,y0,z0) on the plane and perpendicular to the vector…

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: Consider the points A=(1,2,3), B=(-2,1,0), and C=(0,3,1). Adding the vectors, find 2AB+3AC.

A: To find 2AB +3 AC

Q: Find the equation of the line that goes through the point A = (5, –3, –4) and is parallel to the…

A: Given that the line passes through the point A=5,-3,-4 and is parallel to the vector  v=-2,4,3 The…

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

A: Here, the required plane is perpendicular to the vector n=-2i+8k.

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

A: Explanation of the answer is as follows

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: Find a vector equation of the line r through D4 and perpendicular to the line s through F4 and B1.…

A: Given,D4→ = 1i ^ + 2j^ + 3k^Equation of line passing through D4→ is:x-1a= y-2b=z-3cThe above line is…

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: Find the distance of point A(2/3,2) from the line that passes through the origin and parallel to the…

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Q: Find the vectors T, N, and B at the given point. (1, 3 1) r(t) = T = N = B =

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Q: Find the vector and the cartesian equations of the plane containing the point î+ 2j – k and parallel…

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Q: Find the vectors T, N, and B at the given point.

A: Given vector and a point To find tangent vector T(t) use formula

Q: Find an equation of the plane passing through the given point and perpendicular to the given vector.…

A: Equation of a plane perpendicular to a, b, c and passing through x0, y0, z0 is, ax-x0+by-y0+cz-z0=0