Given the four points A(0, 1, 2), B(1,2, –1), C(2, 1, 1) and D(1, (a) find the cosine of the angle between AB and AC; (b) find Proj AC and Perp- AC; AB (c) find the distance from point C to the line through points A and B; (d) find the point on the line through A and B closest to point C; (e) calculate the area of the triangle with A, B and C as vertices; (f) find the volume of the parallelepiped with edges AB, AC and AD;

Q: if the average size of a heart is 12cm and someones heart is "maybe" 2 sizes too small. How many…

A:

Q: A trapezoid has interior angle measures of 90°, 90°, 75° and X degrees. Find 'the measure of angle X…

A:

Q: Kamrie wants to paint her living room. The rectangular room measures 20 feet by 15 feet and has…

A: Step 1: Area of the long walls =2×10×20=400 square feet Area of the short walls =2×10×15=300 square…

Q: given f(6) =8  f'(6)=0  f''(6)=5 a) what is the slope of the tangent line at x= 6 b) which occurs…

A: (a) the slope of the tangent line at x= 6 is  zero. i.e f'(6)=0

Q: Kamrie wants to paint her living room. The rectangular room measures 20 feet by 15 feet and has…

A: The objective of this question is to calculate the total area of the walls that Kamrie needs to…

Q: 5. If square D has an area of 225 square centimeters and square E has an area of 81 square…

A: Given that area of square D and E and we find area of square F. We know that the area of a square is…

Q: What is the volume of a cube of edge length 4 cm?

A: We know that the volume of the cube is given by a3 where a is the length of an edge of the cube.…

Q: b) 49/4 + 6.5 Vu du

A: NOTE: Refresh your page if you can't see any equations. .

Q: A person has a rectangular board 10 inches by 16 inches around which she wants to put a uniform…

A: Given A person has a rectangular board 10 inches by 16 inches around which she wants to put a…

Q: 6 pipes with a radius of 7.5 cm, calculate the length of rope to tie the pipes. Please provide only…

A: 6 pipes with a radius of 7.5 cm

Q: What is the volume of this triangle if the height is 8 length is 7 and width is 11

A:

Q: lding casts a shadow 128 feet long, while a 24-foot flagpole casts a shadow 32 feet long. H…

A: Topic:- geometry and trigonometry

Q: Use the indicated region of feasible solutions to find the maximum and minimum values of the given…

A: We will answer the first question only as we don't answer multiple questions at a time. Please…

Q: 2. An open-top box is to be made from a 24 in. by 36 in. piece of cardboard by removing a square…

A: An open box is to be made from a 24in. by 36 in. piece of cardboard by removing a square from each…

Q: The surface area of a sphere is 36 T square inches. What is the volume of the sphere? Write the…

A: Given the surface area of sphere is 36π sq.inches. To find the volume of sphere:- Surface area of…