7 B 3 A 2 2 3 -1 -2

Q: 4. Prove that the midpoint of the line segment connect- ing the points (x 1, X 2, - . . , Xp) and…

A: The midpoint of a segment can be considered to be the average…

Q: . For what values of a are the points (6, 2, 3) and (a, 2, 5) and the line = (2,-1,-2) + t(3,1,-2)…

A: I have appended the formula used in the solution part of the question

Q: D (2, 2), E (4, 5), F (10, 6), and G (8, 3)

A:

Q: Find all points with coordinates of the form (a, a) that are a distance 3 from P(-2, 1).

A: Given: P(-2,1) and distance is 3. To find the other coordinate point.

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: Find the area of the parallelogram with vertices A(−3, 0), B(−1, 4), C(6, 3), and D(4, −1). I have…

A: Area of parallelogram is | a × b |, where a and b are distance between the sides.So plot the given…

Q: Find the distance from the poinst (-5, 2, -3) to the az-plane.

A: To find the distance from a point to the xz-plane, we are using the formula for the distance between…

Q: If the four points defining a Bezier curve are (x1, y1) = (3,4), (x2, y2), (X3, y3), (X4, Y4) = (5,…

A: Consider the given points of Bezier curve: The objective is to determine that whether the curve is…

Q: Q4) Compute f z'dz, where C is the path formed by the line segment from -3 to 3 and the semicircle…

A: There is no such introduction for the solution.I have explained it within the solution.Please go…

Q: Find midpoint M of P,P2, which joins P1(5, -7, 2) and P2(2, 5, 6), as shown in Figure 10.46 of…

A: Formula used : Mid-point formula Mx1+x22,y1+y22,z1+z22 Here (x1,y1,z1) and (x2,y2,z2) are the end…

Q: 4. The points P(2,0, 1) and Q(4,2,5) are in R. (a) Find the midpoint between these two points, and…

A:

Q: Through any point (x, y) of a certain curve which passes through the origin. lines are dawn parallel…

A: Draw the sketch of two possible cases of the given problem:

Q: A. If the shape defined by points (A to H) is scalec direction, then it was rotated about the origin…

A: Rotation of (x,y) about origin +90° will be (y,-x). Scaling of (x,y) by a factor of 2 units in x…

Q: Consider points A(4, -1, 3), B(3, 1, 8), and C(1, -3, -3). (a) Find the area of parallelogram ABCD…

A:

Q: Write the two equations for the Bezier spline determined by the four points (2, 1), (4, 7), (6, 3),…

A: To Write: The two equations for the Bezier spline determined by the four points 2,1, 4,7, 6,3 and…

Q: 3. Show the parametric form of the line that passes through points A(3, 6, 1) and B(2,10, 5) Compute…

A:

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: Let P(6, – 2, 2) and Q(0, 0, 0) be two points in R³. Find the distance between P and Q. - PQ

A:

Q: In Problem,find the distance d( P1,P2) between the points P1and P2. P1 =(-1, 0); P2 =(2, 4)

A: Given: To find the distance d( P1,P2) between the points P1and P2. where P1 =(-1, 0); P2 =(2,…

Q: Eindequatisf ihe line passer thronghthe Paint (-3,2,-)-and parallelte the lineof intersaction of the…

A: