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Vectors

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A vector is a quantity that has both magnitude and direction. Unlike a scalar, which only tells you how much, a vector tells you how much and in which direction. For example, if an object moves 5 meters to the north, that's a vector, because it includes distance and direction. Vectors are usually represented using arrows — the length of the arrow shows the magnitude, and the arrow points in the direction of the vector. Common examples of vectors in physics include velocity, force, acceleration, and displacement. Vectors are important in many fields like physics, engineering, and navigation, and they can be added, subtracted, and multiplied using special rules.

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Introduction to Vectors




Different Kinds of Vectors



Let's run through the types of vectors you'll encounter:



Zero Vector:

This is a special one. It has a magnitude of zero. Importantly, the direction of a zero vector is

undefined.

It's like saying "go nowhere" - there's no specific direction to go.

Ashutosh emphasized, any null vector or zero vector - its direction is undefined, it is indeterminate.



Unit Vector:

We'll see more about these soon, but just a heads-up - a unit vector has a magnitude of 1.

They're incredibly useful for defining directions.



That gives you a solid foundation for vector algebra.

We'll be diving into more operations and concepts in the next lessons.

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