Subject: Mathematics
Book: Maths Mastery
Real-life vector problems often combine multiple directions, like wind affecting a plane’s flight or multiple forces on an object. If u20d7F₁=[5,2] and u20d7F₂=[–3,4], the resultant u20d7F=[2,6] has magnitude √(2²+6²)=√40=6.32. Angles can also be found with tan⁻¹(6/2)=71.57°. Summation or subtraction of displacement vectors clarifies final positions. Mastering these steps is crucial in engineering mechanics, navigation, or sports analysis (ball trajectory). Thorough practice ensures accurate solutions for real-world directional and magnitude-based tasks.
A square is inscribed in a circle with a radius of 5 cm. What is the area of the square?
View QuestionWhat is the sum of the first 10 positive even numbers?
View QuestionA number is increased by 20% and then decreased by 20%. What is the net change?
View QuestionA sphere has a radius of 7 cm. What is its volume?
View QuestionWhat is the LCM of 15 and 20?
View QuestionIf x = 2 and y = 3, what is the value of (x^2 + y^2)?
View QuestionIf a = 2 and b = 3, what is the value of (a^2 + b^2)?
View QuestionIf the perimeter of a square is 40 cm, what is the area of the square?
View QuestionThe simple interest on Rs. 4000 at 5% per annum for 2 years is:
View QuestionA cone has a base radius of 7 cm and height of 24 cm. What is its volume?
View Question