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What two things define a vector?
Magnitude and direction
What is a pixel?
The smallest unit of a digital image
What three fields form robotics?
Mechanics, mathematics, and computer science
What does the dot product give as a result?
A number (scalar)
Miss Tattu is the...
In robotics, what can a robot’s movement be represented as?
A vector (x, y, z)
How can an image be represented mathematically?
As a matrix of numbers
What helps robots “move”?
Vectors, dot product, and cross product
Which operation helps measure similarity between two vectors?
Dot product
Why do robots need the cross product?
To describe rotation and direction in 3D space
What is the main difference between a vector and a scalar?
A vector has direction, a scalar doesn’t
How many matrices represent an RGB color image?
Three (red, green, blue)
What helps robots “see”?
Matrices and computer vision
Which operation helps measure rotation direction?
Cross product
To describe rotation and direction in 3D space
The axis of rotation
What does the cross product give as a result?
A new vector
What do robots use matrices for in image processing?
To blur, sharpen, or detect edges
What is the role of mathematics in robotics?
It controls motion, vision, and analysis
Does our presentation deserve 30 points?
YES, OF COURSE
What operation is used in the formula — multiplication or subtraction?
Both — multiply diagonally, then subtract
What happens to the cross product if the two vectors are parallel?
It equals zero
What is a “filter” in image processing?
A small matrix that slides over an image to detect or enhance features
Complete the phrase: “Mathematics is the ______ of robotics.”
Brain
In which science is the cross product used to find torque?
Physics
How is the cross product different from the dot product?
It gives a vector, not a number