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Vector Algebra Solved Examples for JEE Video Lecture | Mathematics (Maths) for JEE Main & Advanced

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FAQs on Vector Algebra Solved Examples for JEE Video Lecture - Mathematics (Maths) for JEE Main & Advanced

1. What are the basic operations in vector algebra?
Ans. The basic operations in vector algebra include addition, subtraction, scalar multiplication, dot product, and cross product.
2. How is the magnitude of a vector calculated in vector algebra?
Ans. The magnitude of a vector is calculated using the Pythagorean theorem. For a vector $\vec{v} = (a, b, c)$, the magnitude $|\vec{v}| = \sqrt{a^2 + b^2 + c^2}$.
3. Can vectors be multiplied in vector algebra?
Ans. Yes, vectors can be multiplied in vector algebra. Two common types of vector multiplication are the dot product and the cross product.
4. How are vectors represented geometrically in vector algebra?
Ans. Vectors are represented geometrically as arrows in space, with the length of the arrow representing the magnitude of the vector and the direction of the arrow indicating the direction of the vector.
5. What are some applications of vector algebra in real life?
Ans. Vector algebra has various applications in real life, such as in physics (force, velocity, acceleration), engineering (mechanics, structural analysis), computer graphics, and navigation (GPS systems).
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