APMA 2120 EXAM 1 FORMULAS UPDATED ACTUAL
QUESTIONS AND CORRECT ANSWERS
Question:
3D Distance Formula
Answer:
■ (x2-x1)²+(y2-y1)²+(z2-z1)²
Question:
Sphere
Answer:
(x-a)² + (y-b)²+ (z-a)²=R²
Question:
Ellipsoid
Answer:
x²/a² + y²/b² + z²/c² = 1
Question:
Elliptic Paraboloid
Answer:
z/c = x²/a² + y²/b²
Question:
Hyperbolic Paraboloid
Answer:
z/c = x²/a² - y²/b²
Question:
Cone
Answer:
z²/c²= x²/a² + y²/b²
Question:
Hyperboloid of One Sheet
Answer:
x²/a² + y²/b² -z²/c² = 1
Question:
Hyperboloid of Two Sheet
Answer:
-x²/a² - y²/b² + z²/c² = 1
Question:
Scalar Multiplication
Answer:
è é v = αa, αb, αc
QUESTIONS AND CORRECT ANSWERS
Question:
3D Distance Formula
Answer:
■ (x2-x1)²+(y2-y1)²+(z2-z1)²
Question:
Sphere
Answer:
(x-a)² + (y-b)²+ (z-a)²=R²
Question:
Ellipsoid
Answer:
x²/a² + y²/b² + z²/c² = 1
Question:
Elliptic Paraboloid
Answer:
z/c = x²/a² + y²/b²
Question:
Hyperbolic Paraboloid
Answer:
z/c = x²/a² - y²/b²
Question:
Cone
Answer:
z²/c²= x²/a² + y²/b²
Question:
Hyperboloid of One Sheet
Answer:
x²/a² + y²/b² -z²/c² = 1
Question:
Hyperboloid of Two Sheet
Answer:
-x²/a² - y²/b² + z²/c² = 1
Question:
Scalar Multiplication
Answer:
è é v = αa, αb, αc