20. Determine the angle between a = (5, 3, 0) and b = (-1, 0, 8) 21. The vertices of a quadrilateral are A = [0,3,5], B = [-3,-1,17], C = [4,-3,15] & D = [7,1,3]. Prove that ABCD is a parallelogram. x-1 y-2 z+1 22. Determine the value of k for which the direction vectors of the lines || = and k 2 k-1 x+3 Ꮓ y = -1 are perpendicular. -2 1

Q: 8. Find the point (x. y) such that (1, 3) is the midpoint of the line segment connecting a. (x, y)…

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Q: 7. The vertices of a quadrilateral drawn in a coordinate plane are (-6, 6), (4, 6), (2, -5), and…

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Q: _8. What type of quadrilateral is PQRS? Given: P(-5, 2); Q(4,5); R(6, -1); S(-3,4) b. rectangle _9.…

A: Solve above questions.

Q: 11. The vertices of a triangle are P(-6, –3), Q-3, –6), and R(-5, –2). Name the vertices of the…

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Q: 41. (2,3), (4, 9), and (-2,7) are vertices of an isosceles triangle.

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Q: 9. Prove, by coordinate geometry that QRST is a parallelogram. Q(0

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Q: 14) Write the equation of the perpendicular bisector of segment QR if Q(3, -2) and R(7, 6)

A: Find the equation

Q: 7. Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(10,…

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Q: Consider the points A(-10,8), B(-1,-13), C(-4,-15). Given that ABCD is a parallelogram, find the…

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Q: 1)calculate dedy ry where D is a parallelogram with vertices (0,0).(5,-1).(3,1) and (8,0) tip:Use…

A: Here we will use change of variable to find integral If we want to integrate f(x,y) over the region…

Q: 9. A rhombus is drawn in the standard xy-coordinate plane. The line 2x+y= 4 includes one of the…

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Q: 2) The vertices of quadrilateral RYAN are R(2-2), Y(4,5), A(-6,4), and N(-8,–2). Use coordinate…

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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: Show that quadrilateral QUAD, with Q = (-1.-4). U = (4. 11). A= (1, 12), and D= (-4,-3), is a…

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Q: If A(1,1,5), B(3,1,7), C(4,1,3) and D(6,1,5) are the nodes of a rhombus (parallelogram). Get the…

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Q: 6. A line segment has endpoints at 4(-1, -8) and B(5, -4). Which of the following are the…

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Q: 27. Let ABC be a triangle with vertices A = (-3,0), B = (0, 6), C = (3, 0). Let P be a point on the…

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Q: Select the most precise name for the quadrilateral with points R(-7,-6) S(-5,0) T(-2,0) U(0,-6)

A:

Q: 44. An isosceles triangle has vertices at (1, 1) and (3, 3). Which of the following could be the…

A: Please refer to the image below.

Q: For A(-1,2); B(6,4); C (1, – 20), how many different points D could be chosen if ABCD is a…

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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: 38. A rectangle with sides parallel to the axes has vertices at (3, - 2) and (-4, – 7). a) Find the…

A: Explanation of the answer is as follows

Q: 8) Determine whether the given vertices represent a parallelogram, rectangle, or rhombus. ВС-1,-1),…

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Q: 2- The line perpendicular to the triangular (PQR) and through the point (P) if P(1,-1,2), Q(0,3,1),…

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Q: 8. If A(3,-4,5) and B(2,-2,0) are two vertexes of a parallelogram ABCD and M(2,2,2) is the point of…

A: Step 1: Step 2: Step 3: Step 4:

Q: The vertices of a quadrilateral are A(9, 4), B(8,-2), C(2,-5), and D(3,-7). Classify the…

A: Given ABCD is a quadilateral A(9,-4), B(8,-2), C(2,-5), and D(3,-7) Recall distance formula to find…