where P is the parallelogram Spanned by the Vectons 24,13 and <3,3) with tHanformation X=4u+3V and.

Q: Q10)The two lines L1: x=3-2t, y=4+t ,z= 6-t and L2: x=5-4t, .y=-2+2t, z=7-2t are parallel

A: 10) The equation of the line x=3-2t t=x-3-2 y=4+t t=y-4 z=6-t t=z-6-1

Q: x+2 What is the equation of the normal line of y = at the point x = 1? 2x+1

A: Let us consider function y=f(x) The normal line of function y=f(x) at point x0 is given by formulae:…

Q: The midpoint of the segment AB with A(-1,5) and B(3,7) belongs to the line of equation: a) 2x+y=0 b)…

A: given A=(-1,5) and B=(3,7)

Q: State the equstion of the yz plane

A: We have to find equation of yz plane

Q: Line segment AB is a diameter of the x² +y² + z² - 2z + 8y = 9. Find point B if A = (0, у, 0).

A: To find the point B if Coordinates  of A are given for the sphere.

Q: Suppose the midpoint of RT is M = (3,0). If point R has the coordinates of (-1, 4), what are the…

A: Given midpoint RT is M =(3,0)

Q: 8. Triangle BCD with verlices B(-2,3), C(8, 7), and D(-1,-5): y»x B' J C D'C

A: The given points are  B(-2, 3), C(8, 7) and D(-1, -5) And y=x We have to find B', C' and D' To find…

Q: Give equations for two distinct planes whose trace in the yz-plane has equation y = 4z

A: Given, two distinct planes have trace in the yz-plane has equation y = 4z

Q: 22 - 4y-9x2 = 36 %3D

A: This is a general formula of the 3d parabolic surface. For finding traces points we will use the…

Q: Sketch the triangle with vertices O, P = (7, 0, 7) and Q = (3,0, 3) and compute its area using…

A: To find the area of the triangle using cross product method when it's vertices are given .

Q: )ca) if vector as 6=2ナリーk Calculate axb and bxa. (b) Find The area of the paralletogrmais bounded by…

A: Area of parallelogram of the vectors a and b is a×b.

Q: Q4. equation of circle x² + y² - 6x-2y +6 = 0 2 )2 (x-3)² + (y-13² = 4 circle with center line y =…

A: Note: As per your request, the solution is in digital format is given below.   Q4.  Equation of…

Q: Derive a cubic spline with natural boundary condition using the following points: (−2, 1), (0,0),…

A: Sol:-] To derive a cubic spline with natural boundary condition, we need to find the cubic…

Q: with the guldin's proposition 1 get the contents of the rotating object that occurs if the land…

A: As per the question we are given a 2d region bounded by the curve : y = 6 - 3x - x2 and the straight…

Q: Find an eguatHon of the from 4= ax tbX tC that deAnes the parabola through the three noncollinear…

A:

Q: Wie the defiebun of the desiunhue P) lin flxal) -RC) ke compule devivative of fl)=3X-X hab find the…

A: Answer is y=-x+4

Q: formela for the fun thn yoga) Con súto of two line 2) Write cmula whose as in fguve the f Mawing : 6…

A: