A vector with magnitude = 70 , directed 20° above or below horizontal,
has a horizontal component of
70 cos(20°) = 65.778 (rounded)
As you have written it, the quantity "96 percent relative humidity" has only a magnitude. If you can find a reasonable and meaningful way to relate it to a direction, then it'll also have a direction. I notice, however, that over several decades of broadcast and printed weather conditions and forecasts, I have never once seen a direction stated as part of the relative humidity, and that never seemed to leave it lacking in information. So I'm guessing that you probably won't be able to do it.
A crosswind is any wind that is not in the same direction as travel. The crosswind component is perpendicular to the direction of travel ( 90 degrees). Mathematically, the crosswind component is the speed times the sine of the angle relative to the direction of travel. For example if a plane travels NORTH and there is a crosswind from the EAST ( 90 degrees) at 20 mph the crosswind component is 20 mph ( 20 sin90 = 20) For another example if a plane travels NORTH and there is a crosswind from the NORTHEAST ( 45 degrees) at 20 mph the crosswind component is 14.1mph ( 20 sin45 = 14.1)
This is used to represent the relative size of the components.
A ratio is a quantity that denotes the proportional amount or magnitude of one quantity relative to another. by swety
Scalar QuantitiesMost of the physical quantities encountered in physics are either scalar or vector quantities. A scalar quantity is defined as a quantity that has magnitude only. Typical examples of scalar quantities are time, speed, temperature, and volume. A scalar quantity or parameter has no directional component, only magnitude. For example, the units for time (minutes, days, hours, etc.) represent an amount of time only and tell nothing of direction. Additional examples of scalar quantities are density, mass, and energy.Vector QuantitiesA vectorquantity is defined as a quantity that has both magnitude and direction. To work with vector quantities, one must know the method for representing these quantities. Magnitude, or "size" of a vector, is also referred to as the vector's "displacement." It can be thought of as the scalar portion of the vector and is represented by the length of the vector. By definition, a vector has both magnitude and direction. Direction indicates how the vector is oriented relative to some reference axis, as shown in Figure 1. Using north/south and east/west reference axes, vector "A" is oriented in the NE quadrant with a direction of 45 north of the o EW axis. G iving direction to scalar "A" makes it a vector. The length of "A" is representative of its magnitude or displacement.Another AnswerA scalar quantity refers only to the magnitude of the quantity and answers the question how much. Ex. height, weight, volume, and the like. 2 lbs of sugar is scalar, 4 m long is scalarA vector quantity refers to both magnitude and direction and answers how much and where is it going, (in that sense)Ex. forces, velocity. 200 km/hr at N30degE is a vector, the force required to push a drum up or down a ramp is a vector, the force exerted by the cue stick in billiards is a vector a scalar is a number, like a distance... like the moon is 300.000km away from earth.a vector is a number AND a direction. It's like "moving east at 100km/h"while "moving at 100km/h" alone is a scalar.The idea is that a scalar has only ONE dimension, while a vector has several.
The initial magnitude of the velocity is sqrt(5) times the horizontal component. This results in a velocity vector that is inclined at an angle of arctan(2) ≈ 63.43 degrees with respect to the horizontal.
A vector would have components that are equal in magnitude when it points diagonally in a 45-degree angle relative to the axes. In this case, both the x-component and y-component would have the same magnitude, resulting in a balanced vector.
The two factors that determine the description of forces are magnitude and direction. The magnitude of a force refers to its size or strength, typically measured in newtons. The direction of a force indicates where the force is exerted relative to an object or reference point.
The length of a force arrow in a force diagram does not have a direct correlation to the magnitude of the force. The direction of the arrow indicates the direction of the force, while the relative length compared to other force arrows in the diagram shows the relative strength or magnitude of the forces.
To describe a vector quantity, you need both magnitude (size) and direction. This information can be represented using components along different axes or as a magnitude and an angle relative to a reference direction.
The initial direction of a projectile's velocity is typically determined by the angle at which it is launched relative to the horizontal plane. This angle will influence both the horizontal and vertical components of the velocity.
Magnitude and direction are related in vector quantities. The magnitude represents the size of the vector, while the direction indicates the orientation of the vector in space. In a 2D plane, direction can be specified by an angle relative to a reference axis, while in 3D space, direction can be defined by using angles or unit vectors along the coordinate axes.
As you have written it, the quantity "96 percent relative humidity" has only a magnitude. If you can find a reasonable and meaningful way to relate it to a direction, then it'll also have a direction. I notice, however, that over several decades of broadcast and printed weather conditions and forecasts, I have never once seen a direction stated as part of the relative humidity, and that never seemed to leave it lacking in information. So I'm guessing that you probably won't be able to do it.
The direction of a displacement arrow indicates the direction in which an object has moved relative to its starting point. The length of the displacement arrow indicates the magnitude or distance of the object's movement.
Light waves passing through horizontal slits vibrate in a vertical direction, perpendicular to the direction of the slit. This polarization of the light waves is caused by the orientation of the slits relative to the light source.
Friction is a force that opposes the relative motion or tendency of such motion of two surfaces in contact. Both friction and force are vector quantities, meaning they have magnitude and direction. They both can cause objects to accelerate or decelerate depending on their direction and magnitude.
To find the surfer's velocity relative to the ground, you can use vector addition. The magnitude can be found using the Pythagorean theorem with the given velocities of the surfer and the wave. The direction can be determined using trigonometry, typically by finding the arctangent of the components of the velocities.