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Can the magnitude of a vector be less than magnitudes both of components?
Wiki User
∙ 11y ago
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.
Wiki User
∙ 11y ago
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What two vectors does a vector have?
It has both velocity and direction. A vector has direction and magnitude.
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}
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.
Quantities have both a magnitude and direction?
A quantity with both magnitude and direction is a Vector quantity.
Can the sum of the magnitudes of two vectors ever b equal to the the sum of these two vectors?
Not really. The sum of the magnitudes is a scalar, not a vector - so they can't be equal. But the sum of the two vectors can have the same magnitude, if both vectors point in the same direction.
Define the terms scalar and vector?
scalar has only a magnitude vector has both magnitude and direction
How do you find the vector of magnitude 2 in the direction of vector i plus 2j?
The magnitude of (i + 2j) is sqrt(5). The magnitude of your new vector is 2. If both vectors are in the same direction, then each component of one vector is in the same ratio to the corresponding component of the other one. The components of the known vector are 1 and 2, and its magnitude is sqrt(5). The magnitude of the new one is 2/sqrt(5) times the magnitude of the old one. So its x-component is 2/sqrt(5) times i, and its y-component is 2/sqrt(5) times 2j. The new vector is [ (2/sqrt(5))i + (4/sqrt(5))j ]. Since the components of both vectors are proportional, they're in the same direction.
Why is an electric field strength a vector quantity?
for a vector quantity it must have both magnitude and direction and since it has both magnitude and direction it is therefore considered a vector
What is definition of vector?
A vector is a quantity with both a direction and magnitude
What does a vector consist of?
A vector has both magnitude (length) and direction
What is the difference between vector and algebraic sums?
A vector has both a magnitude and a direction. To add vectors, you graphically put them head-to-tail; or, to do it with math, separate the vector into x and y components, and add the two components separately. Or more than two components, depending on the number of dimensions used.
A vector is a quanitity with magnitude and?
A vector quantity is a physical quantity having magnitude and direction both. For e.g. velocity is a vector quantity and in physics it is velocity is generally denoted as: v (bar) = 2i+3j+4k where in general, i=velocity in x-direction j=velocity in y-direction k=velocity in z-direction 2,3 and 4 are magnitudes respective to their directions.
