3.) The equation of the plane that passes Po = (xo, Yo, Zo) and is Ро схада Zo) and is orthogonal to t it Bj + (k. is given by (х-ход + B(у-до)+ (Съ-год =0

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: Find the differential equation of f(t)=(3e^2t + 4cos(2t))² What its type of equation?

A: We find the differential equations.

Q: If a line is parallel to the vector 2i + 9j + 8k and passes through the point P = (6, 8, 8), then…

A:

Q: Find the angle between the planes whose vector equations are 7-(2i + 2)- 36) =57-(3i -3) + Sk) = 3…

A: The solution to the the given question is explained below.

Q: Given the following mathematical program: Which of the following are true? O (x, y) = (3.0, 2.5) is…

A: Min z=2x+2y Subjected to x+2y≥32x+y≥5x,y≥0 x,y integer

Q: A plane in R'is perpendicular to the vector (4, 2, – 9), and contains the point (- 9, 5, - 8). Find…

A: A plane in ℝ3 is perpendicular to the vector 4, 2, -9 and contains point -9, 5, -8To find the…

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

A:

Q: b) Adam walks in a straight line form the point A(-1, 4) to the point Q(4, 16) with constant speed.…

A: Step 1:Given that Adam walks in straight line with constant speed starting from A(−1,4) to Q(4,16) .…

Q: nterseeting Lines Finad the plane determined by the Loi Xi=l-2t, , J="l-st,, 2= -2+t, L2: X2=-3+t2,…

A:

Q: A plane intersects the a1, a2 and a3 axes at 0.2, 0.1, and -0.5. The reciprocal vector perpendicular…

A: If the Miller indices for a plane is h k l , then the reciprocal vector normal to the plane is…

Q: - 3)² = 81 then, find its ce or a=<3, -1

A: 1. Given: The points are 2,3,-6 and -1, 4, 5 To find the distance between the given points. The…

Q: Determine the vector equation of a line that is perpendicular to the line, p = |-4, 4, 9 + t|-1, 3,…

A:

Q: 3. A plane contains A(1, -3, 2), B(-2, 4, 2) and C(3, 2, 1). (a) Determine the vector equation of…

A:

Q: Determine whether or not the given vector b is in the span of the vectors u₁ and u₂. [2] = [3], b…

A:

Q: 8. Given vector v = (4,-5) a) If we want to represent v in the form v= AB where A = (-2, -3), what…

A:

Q: Consider the points K(−1, 0, 7) and M(1, −2, 5), the vector MN = , and the line L with symmetric…

A: The dot product of two vectors includes the cosine of the angle between them. When the two vectors…

Q: the

A:

Q: Let /be the line through the point with coordinates (2,-1,0) in the direction of the vector G) 1…

A:

Q: A) Let the equation y = -1. What does this equation represent in R2? What does this equation…

A:

Q: Find an equation of the plane that is parallel to the vectors and , passing through the point (3,…

A: Use given parallel vectors &lt;1,-3,1&gt; , &lt;4,2,0&gt; and passing through the point (3,0,-2)…

Q: 2. Write the plane equation when it passes through a point Mo(11,2) and is: a) perpendicular to the…

A: We have to find the equation of the plane.

Q: Ex.2/ Find an equation for the plane through A(-1,1,2), B(2,0,1) and С2,-3,3)

A:

Q: Given the points A(3,-1,1), B(2,3,4) and C(4,1,1). (a) Find a unit vector that is simultanously…

A: Concept: A plane going through three non-collinear points has the following equation: Vectors and…