0
The magnitude of the sum of any two vectors can be anywhere between zero and
the sum of their two magnitudes, depending on their magnitudes and the angle
between them.
When you say "components", you're simply describing a sum of two vectors that
happen to be perpendicular to each other. In that case, the magnitude of their
sum is
Square root of [ (magnitude of one component)2 + (magnitude of the other component)2 ]
It looks to me like that can't be less than the the magnitude of the greater component.
What else can I help you with?
What two vectors does a vector have?
It has both velocity and direction. A vector has direction and magnitude.
How do the magnitudes of their momenta compare?
The magnitudes of momenta are equal since momentum is a vector quantity, determined by both magnitude and direction. If the direction of the momenta are different, the magnitudes will depend on the angle between them.
Why vector quantities cannot be added and subtracted like scaler quantities?
Vector quantities have both magnitude and direction, so when adding or subtracting them, both the magnitudes and directions must be considered. Scalars, on the other hand, only have magnitudes and can be added or subtracted without concern for direction. This is why vector addition and subtraction involve vector algebra to handle both the magnitudes and directions appropriately.
When does a vector change?
Whenever either its magnitude or its direction (or both) changes.
Two vectors of unequal magnitude can their sum be zero?
No, two vectors of unequal magnitude cannot have a sum of zero. The resultant of adding two vectors is determined both by their magnitudes and directions. If the vectors have unequal magnitudes, the resultant vector will have a magnitude that is at least as large as the larger of the two original vectors.
Ask us of the following could not be vector magnitudes?
Temperature, time, and density could not be vector magnitudes as they do not have a direction associated with them. Vector magnitudes represent quantities that have both a size and a direction, such as velocity or force.
Which acceleration has larger magnitude?
The acceleration with the larger magnitude is the one with a greater numerical value, regardless of its direction. Acceleration is a vector quantity, meaning it has both magnitude and direction, but when comparing magnitudes, only the numerical values are considered.
Under what circumstances can a vector have components that are equal in magnitude?
(Magnitude of the vector)2 = sum of the squares of the component magnituides Let's say the components are 'A' and 'B', and the magnitude of the vector is 'C'. Then C2 = A2 + B2 You have said that C = A, so C2 = C2 + B2 B2 = 0 B = 0 The other component is zero.
Will a vector at 45 degrees to he horizontal be larger or smaller than its horizontal and vertical components?
The magnitude of the vector at 45 degrees to the horizontal will be equal to the magnitude of its horizontal and vertical components. This is because the components are obtained by using trigonometric functions of the angle, and in this case, at 45 degrees, those functions yield the same value for both the horizontal and vertical components as the magnitude of the vector.
If vector has unity magnitude and makes an angle of 45.0 with the positive axis?
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}
Is the position scalar or vector quantity?
Vector-it has both magnitude and direction
What is needed to describe a vector qauntity?
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.
