1. The points P, (1,2,3), P₂ (2, 1, 2), P, (3, 0, 1), P4 (5, 2,7) are the vertices of a plane quadrilateral find the Coordinates of the midpoints of the sides. What kind of quadrila- teral do these four mid paints form? 2. Given the set S= {(x, y, z): x² + y² +2² = 1}.] L Find the points of SAL where I is the line passing through the origin and having direction numbers 2, 1,3 3. Determine whether or not the three given points lie on a line A (3, 1,0), B (2,2,2), C (0,4,6)

Q: 1. If (0, 0), (3, 0) and (x, y) are the vertices of an equilateral triangle, find x and y.

A:

Q: 30) The coordinates of the endpoints of line segment CD are C(–4, 1) and D(3, 4). Reflect the line…

A: x-axis is also known as the principal axis . The y-coordinate of the point that lies on x-axis is 0.

Q: 7) Three vertices of a parallelogram are shown. A DO y O B X A(-1, 1) B (2,1) D(-2,-1) Find C Select…

A: The objective of this question is to find the coordinates of the fourth vertex of a parallelogram…

Q: 20. Determine the angle between a = (5, 3, 0) and b = (-1, 0, 8) 21. The vertices of a quadrilateral…

A: Step 1: In order to determine the angle between a=(5,3,0)&b=(−1,0,8) lets use the dot product…

Q: 19. In a coordinate plane, triangle ABC has vertices of A(1,1), B(1,5), and C(5, 1). a Triangle ABC…

A: We have to find point

Q: two bees leaving an area in a straight path. Bee's 1 path: r1(t) = + t and Bee's 2 path: r2(s) =…

A: As per the question we are given the trajectory of two Bees and we have to find :whether their…

Q: Show that a triangle with vertices at A(−1, 2), B(4, 1), and C(5, 6) is isosceles. Distance from…

A:

Q: 5. The vertices of parallelogram ABCD are: A(3, -2, 4), B(-2, 0, 5), C(3, -5, -4) & D(x, y, z). a)…

A:

Q: △ABC△ABC has vertices A(0,4), B(6,-1), and C(3,7). What are the coordinates of C' when the triangle…

A:

Q: 4. Quadrilateral JKLM is reflected in the x -axis to form quadrilateral WXYZ. What are the…

A: Given, quadrilateral JKLM is reflected in the x-axis to fom quadrilateral WXYZ.…

Q: 33. Sketch the diagram that you would use to find the magnitude of the sum of a and b if the angle…

A: 20. To find the angle between two vectors \(\vec{a}\) and \(\vec{b}\), you can use the formula…

Q: 6) Consider the three points in the plane given by their coordinates: A = (0,0) B=(2,2) C=(3,5).…

A: I have explained everything with in the solution. Please go through that

Q: Sketch the following points in space three, A (4,5,3); B (1,7,4) and C (2,4,6). Prove that point A,…

A:

Q: 2. Find the eanation of the plane Containing the point (2,3,3)'and the line Of intersÉCtion 'of the…

A: We have to find the equation of plane containing the point (2, 3, 3) and the line of intersection of…

Q: 13) If the 3 points W (-1,5,2), R (6,-2,3) and Y(-2,-7,-3) in 3D forms a triangle, then find [T: 2]…

A:

Q: 4) The coordinates of the vertices of triangle SUE are S(-2,-4, Y(2,-1), and E(8,-9). Using…

A: