You are not right. Remember ##~\text{tan} =\dfrac{\text{opposite}}{\text{adjacent}}.##Ineedhelpwithphysics said:
A vector is a mathematical quantity that has both magnitude (length) and direction. This is different from a scalar, which only has magnitude and no direction.
The magnitude of a vector can be found using the Pythagorean theorem, which states that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides. In other words, the magnitude of a vector is equal to the square root of the sum of the squares of its components.
The direction of a vector can be found using trigonometric functions such as sine, cosine, and tangent. These functions can be used to determine the angle between the vector and a reference axis, usually the positive x-axis.
No, a vector cannot have a negative magnitude. Magnitude is a measure of length, which is always a positive value. However, the direction of a vector can be negative if it points in the opposite direction of the reference axis.
Vectors are typically represented using boldface letters or with an arrow above the letter. They can be manipulated in mathematical equations using vector operations such as addition, subtraction, and scalar multiplication. These operations follow specific rules and properties that govern vector algebra.
