It’s in the picture below
(1 point) let a=(2,4,−5)a=(2,4,−5), b=(−3,6,−5)b=(−3,6,−5), c=(−8,7,0)c=(−8,7,0), and d=(−3,5,0)d=(−3,5,0). find the area of the
maksim [4K]
Areas and volumes of parallelograms and parallelepipeds in 3 dimensions are often easily found by making use of the cross product of the direction vectors of their edges. For edge vectors v1 and v2 of a triangle, the area is ...
... A = (1/2)║v1 × v2║
that is, half the norm of the cross-product vector. The area of a parallelogram with those edge vectors is simply ...
... A = ║v1 × v2║
Here, direction vectors are ...
- ab = (-5, 2, 0)
- bc = (-5, 1, 5)
- cd = (5, -2, 0)
- da = (5, -1, -5)
We can see that ab = -cd and bc = -da, as required for a parallelogram.
The cross product ab × bc is (10, 25, 5), so the area of the parallelogram is
... ║(10, 25, 5)║ = √(10² +25² +5²) = √750
... Area = 5√30 ≈ 27.3861 . . . . square units (parallelogram area)
The areas of each of the mentioned triangles is half the area of the parallelogram, so is
... Area Δabc = Area ∆abd = (5/2)√30 ≈ 13.6931 . . . . square units (triangles)
Answer:
Apply the distributive property.
2x3+4−−x2−(3x)2x3+4--x2-(3x)
Multiply −−x2--x2.
Tap for fewer steps...
Multiply −1-1 by −1-1.
2x3+4+1x2−(3x)2x3+4+1x2-(3x)
Multiply x2x2 by 11.
2x3+4+x2−(3x)2x3+4+x2-(3x)
Multiply 33 by −1-1.
2x3+4+x2−3x2x3+4+x2-3x
Move 44.
2x3+x2−3x+4
Answer: 12
Step-by-step explanation:
