Wiki User
∙ 12y agoThe answer below assumes you are required to find the components of the vector.
A vector with unity magnitude means that the magnitude of the vector equals to 1. Therefore its a simple case of calculating the values of sin(45) for the vertical components and cos(45) for the horizontal components.
Both of these values equal to 1/sqrt(2) {one over square-root two}
Wiki User
∙ 12y agoIf a vector, of magnitude v, makes an angle of Φ with the adjacent side then the adjacent component = v*cos(Φ), and opposite component = v*sin(Φ)
Yes, acceleration can be positive and negative because acceleration is a vector. It has both direction and magnitude. The direction is what makes it positive or negative. Negative acceleration is usually called deceleration.
yes, the slope of the line is the tangent of the angle
10
Yes.
This isn't a simple yes or no question.An angle is a scalar quantity, and a vector is a ... well, vector... quantity. However, there is a relation between the two, and in two dimensions (for example) it's possible to specify a vector in terms of its magnitude and a "vector angle"; that is, the angle it makes with an axis (generally the x-axis, by convention) of the coordinate system.Sometimes the word "vector" is used in a non-mathematical sense to simply mean a direction, not a magnitude. (One example would be in navigation, where the "vector" to another object is the direction it's in; range is treated separately, though in the mathematical sense vector encompasses both direction and range.) In this case it can be more or less equivalent to an angle.
A vector is created by pointing in a particular direction by specifying its magnitude (length) and direction. The vector's direction is defined by the angle it makes with a reference axis (like north, east, or up), while the magnitude represents the length of the arrow pointing in that direction.
Suppose the magnitude of the vector is V and its direction makes an angle A with the x-axis, then the x component is V*Cos(A) and the y component is V*Sin(A)
To find the direction of a vector, you can calculate the angle it makes with a reference axis, often the positive x-axis. Use trigonometry functions such as tangent or arctangent to determine this angle with respect to the chosen axis. The direction can be expressed as an angle or in unit vector notation.
Yes, vectors must have the direction. Without direction, it is simply a scalar quantity.
If a vector, of magnitude v, makes an angle of Φ with the adjacent side then the adjacent component = v*cos(Φ), and opposite component = v*sin(Φ)
Yes, acceleration can be positive and negative because acceleration is a vector. It has both direction and magnitude. The direction is what makes it positive or negative. Negative acceleration is usually called deceleration.
Scalar and vector quantities are both used in physics to describe properties of objects. They both have magnitude, which represents the size or amount of the quantity. However, the key difference is that vector quantities also have direction associated with them, while scalar quantities do not.
the radius vector; and the vectorial angle the radius vector; and the vectorial angle
Magnitude and diction. Aka a vector:>(that was for all the Despicable Me lovers)
Representing a vector quantity by an arrow helps to visualize its magnitude and direction. The length of the arrow represents the magnitude of the vector, and the direction of the arrow indicates the direction of the vector. This visual representation makes it easier to understand vector operations and relationships.
A dipole moment is a vector quantity because it has both magnitude and direction. It describes the separation of positive and negative charges within a molecule, with the direction pointing from the negative to the positive end of the dipole. This directionality makes it necessary to represent the dipole moment as a vector.