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: 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: 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: 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: