Computer Graphics Quiz

What symbol is used to denote that an object is a member of a set?

• ∈

• ⊆

• ∩

• ∪

What is the equation of a unit sphere centered at the origin?

• x² + y² + z² = 0

• x² + y² + z² = 1

• x² + y² + z² = 2

• x² + y² + z² = 3

If f : R → Z, what does this notation represent?

• A function that maps integers to real numbers

• A function that maps real numbers to integers

• A function that maps real numbers to real numbers

• A function that maps integers to integers

What is the discriminant of a quadratic equation Ax² + Bx + C = 0?

• B² - 4AC

• A² + B² + C²

• A + B + C

• 2AB

What is the range of the function asin?

• [−π/2, π/2]

• [−1, 1]

• [−π, π]

• [0, π]

Which of the following is a property of the dot product?

• It returns a vector

• It is commutative

• It is not associative

• It returns a matrix

What is the result of the cross product of two parallel vectors?

• A scalar

• A unit vector

• A non-zero vector

• A zero vector

How can you express a vector in Cartesian coordinates?

• Using polar coordinates

• As a linear combination of basis vectors

• As a matrix only

• As a scalar multiple

What is the relationship between sine and cosine in the Pythagorean identity?

• sin²A + cos²A = 1

• sinA + cosA = 1

• sinA - cosA = 1

• sin²A - cos²A = 1

In a right triangle, what does the tangent of an angle represent?

• The ratio of the opposite side to the hypotenuse

• The ratio of the hypotenuse to the opposite side

• The ratio of the adjacent side to the hypotenuse

• The ratio of the opposite side to the adjacent side