6. Find a vector which is normal to the currive: 3= 11 at (1,2). x³ + xy + y²

Q: Find eguation of a Plane that an contains the vector: and and Z=3E

A:

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

A:

Q: Find a vector function that represents the cur ve of intersection of the paraboloid z a + mnd the…

A: Given that, the paraboloid is z=x2+y2 and the cylinder is x2+y2=22. The projection of the of the…

Q: 4. Given that '(t) = (6t², 2t + 4) and that (2) = (2, 8), find r(t), where we are assuming that the…

A: We have to find the r(t)

Q: Find the sine of the angle between vectors u = (-3, 2,6) and v = (3,2,6) by using the cross-product.

A: Given: The vectors u =(-3, 2, 6) and v=(3,2,6) Find : The sine of the angle between the vectors u…

Q: Find Düg(1, −1) where g(x, y) = e−(x²+y²) and u is the unit vector parallel to .

A: To find  is the unit vector parallel to .

Q: what is the vector equation of the line of intersection of the planes z=5 and x=9

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Q: Find all points on the curve r(t) = ti + t²j+t³k where its tangent line is parallel to the vector…

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Q: Find the two vectors of length 1 normal to the plane given by the equation 3x – 2y + 4z = 7. -

A: From the plane equation we will get the direction ratio of normal. As the length of the required…

Q: The vector value of the tension (T) in rope AB equals 8 m 12 m 2 m 4 m C G 11 m 2 m B 6 m 2 m Select…

A: To determine the correct vector value of the tension (T) in rope AB, we need to compute the vector…

Q: Let A(x,y,,z) and B(x,,y2; z,) be two known 3D points. The point M on the line AB divides the vector…

A: The vectors AB, AM and MB are collinear vectors. Therefore, consider the formula for the collinear…

Q: Given: f(x, y) = 3x² – 2y² at (-,0) in the direction from P(-,0) to Q(0,1). . What is the unit…

A: The given problem is to find unit vector of the function in which direction from point P(-3/4,0) to…

Q: ū = (-/3, –1) and w = (1, /3) E. |

A:

Q: Find the next vector spacing and wrap A = 1(x +y) +j + zx) + k(2 +xy)

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Q: By vector methods show that the line x = y = (1/3)(z + 2) is parallel to the plane 2x - 8y +2z = 5..

A: Any arbitrary point P0 on the line can be determined to be as:

Q: Where does the line with the vector equation [x,y,z] = [6, 7, -8] + t[-2, 4, 1] intersect the…

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Q: If ï = (, 2), find a vector i that is perpendicular to ū.

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Q: 7. Consider the plane in R3 defined by 3x + y- 4z 12. a. Give a normal vector for this plane. b.…

A: In geometry and physics and its engineering applications, we use two kinds of quantities, scalars,…

Q: 1 2 -1 -2 3 -4 Let A = -1 0 and i : 5 4 3 5 -4 1 Find a basis for col(A)+. Find projcol(a)a ī, i.e.,…

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Q: Find the normal unit vector perpendicular on à and B for A = 2i+3j-k and B=-j+2k %3D

A: To find the normal unit vector perpendicular to A and B