Subject: Mathematics
Book: Maths Mastery
Vector problems revolve around magnitude and direction. For example, if u20d7A=[2,3], its magnitude is √(2²+3²)=√13. Adding vectors u20d7A+u20d7B sums components: [a₁+b₁, a₂+b₂]. Dot product u20d7A · u20d7B = a₁b₁+a₂b₂. These operations appear in physics (force or velocity decomposition), game development (movement), or 2D geometry transformations. Building comfort with 2D vectors paves the way for 3D expansions, fosters strong geometric intuition, and is essential for multi-dimensional problem-solving across STEM fields.
If the sum of three consecutive integers is 96, what are the integers?
View QuestionThe probability of getting an even number when rolling a die is:
View QuestionIf a rectangle has a length of 10 cm and a width of 6 cm, what is its perimeter?
View QuestionIf a right triangle has legs of 9 cm and 12 cm, what is the length of the hypotenuse?
View QuestionIf sin(θ) = 0.6 and θ is acute, what is cos(θ)?
View QuestionIf the sum of the angles of a polygon is 1080°, how many sides does the polygon have?
View QuestionIf the perimeter of a square is 40 cm, what is the area of the square?
View QuestionA car travels 240 km in 4 hours. What is its average speed?
View QuestionWhat is the area of a circle with a diameter of 14 cm?
View QuestionIf x^3 - 3x^2 + 4 = 0, what is one root of the equation?
View Question