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cutie05
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Which is more likely to break, a hammock strecthed tightly between a pair of trees or one that sags more when you sit on it?
A vector is a mathematical quantity that has both magnitude (size) and direction. In other words, it is a representation of a physical quantity that has both size and direction, such as velocity or force.
Vectors are typically represented using an arrow pointing in the direction of the vector, with the length of the arrow representing the magnitude of the vector. They can also be represented by a coordinate pair (x,y) or in component form (a, b).
A scalar is a quantity that has only magnitude, whereas a vector has both magnitude and direction. For example, temperature is a scalar quantity, while velocity is a vector quantity.
To add or subtract vectors, you must first break them down into their x and y components. Then, you can add or subtract the components separately to get the resulting vector. The magnitude and direction of the resulting vector can be found using the Pythagorean theorem and trigonometric functions.
The dot product of two vectors is a mathematical operation that results in a scalar quantity. It is calculated by multiplying the corresponding components of the two vectors and then adding them together. It can be used to find the angle between two vectors or to determine if two vectors are perpendicular.