0
If vector has unity magnitude and makes an angle of 45.0 with the positive axis?
Wiki User
∙ 12y ago
The 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 ago
Add your answer:
Earn +20 pts
What are the formulas for the adjacent and the opposite component of a vector?
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)
Can there be a positive acceleration and a negative acceleration?
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.
Is there a relationship between the sign positive or negative of the slope of a line and the angle the line makes with the x axis?
yes, the slope of the line is the tangent of the angle
How do you find a nonzero vector perpendicular to the vector represented by the point x 7 y -3?
10
What are some examples of scalar and vector quantities?
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.
How are scalar and vector quantities similar?
Scalar and vector quantities give magnitude, and that makes them similar. The difference is that the vector quantity gives direction as well as magnitude. plz check out this for further details vHMnGsOrU5A
Is angle a vector?
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.
How do you find the x and y components of a vector?
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)
What are the formulas for the adjacent and the opposite component of a vector?
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)
Can there be a positive acceleration and a negative acceleration?
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.
What makes up motion?
Magnitude and diction. Aka a vector:>(that was for all the Despicable Me lovers)
What makes force a vector?
The fact that both a magnitude (number) and a direction is required to specify it.
In mathematics in polar coordinates what is the polar coordinates for the point pp on a line makes an angle with the initial line?
the radius vector; and the vectorial angle the radius vector; and the vectorial angle
What is a random vector?
A vector may be thought of as a magnitude or size (such as speed) and a direction. So a moving car may be represented by a vector that gives the car's speed and direction. If the magnitude and direction of a vector are chosen from populations of values in some way that makes them unpredictable-or random in other words-then that vector can be said to be random.
How do you find resultant vector through Pythagorean theorem?
Consider vectors A and B. A has magnitude s and makes an angle a with the positive direction of the x-axis. B has magnitude t and makes an angle b with the positive direction of the x-axis. Then the components of A and B along the x-axis are, respectively, s*cos(a) and t*cos(b). Thus the total horizontal component is u = s*cos(a) and t*cos(b). The components of A and B along the y-axis are, respectively, s*sin(a) and t*sin(b). Thus the total vertical component is v = s*sin(a) and t*sin(b). The magnitude of the resultant, by Pythagoras, is then sqrt(u2 + v2)
What is the difference between magnetic vector potential and magnetic scalar potential?
A vector is a quantity with both magnitude (strength) and direction. Like a force having a strength in pounds and a direction. Or a wind having magnitude (in mph) and direction (Northeast). A scalar has only magnitude. Like the length of a segment or amount of peanuts in a jar. Scalars are just numbers.
Which vector transmits malarial fever?
The name of the vector is Anopheles mosquito. It makes the the angle of about 45 degree to the wall, when it sits there.
