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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}

Q: If vector has unity magnitude and makes an angle of 45.0 with the positive axis?

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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.

yes, the slope of the line is the tangent of the angle

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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.

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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

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.

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)

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.

Magnitude and diction. Aka a vector:>(that was for all the Despicable Me lovers)

Force is a vector quantity because it has both magnitude (the amount of force applied) and direction (the way in which the force is applied). This means that to fully describe a force, both the amount of force and the direction in which it is applied must be specified, making it necessary to use vector notation.

the radius vector; and the vectorial angle the radius vector; and the vectorial angle

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.

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)

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.

The name of the vector is Anopheles mosquito. It makes the the angle of about 45 degree to the wall, when it sits there.