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Can the magnitude of a vector be equal to one of its components?
Yes. A vector in two dimensions is broken into two components, a vector in three dimensions broken into three components, etc... If the value of all but one component of a vector equal zero then the magnitude of the vector is equal to the non-zero component.
How the magnitude of vector is equal to 1?
If the sum of the squares of the vector's components is ' 1 ',then the vector's magnitude is ' 1 '.
How can the resultant of two vecters of the same magnitude be equal to the magnitude of either vector?
If the directions of two vectors with equal magnitudes differ by 120 degrees, then the magnitude of their sum is equal to the magnitude of either vector.
Can a unit vector have any components with magnitude greater than unity?
No, by definiton, a unit vector is a vector with a magnitude equal to unity.
Can the component of a non-zero vector be zero?
Yes, the component of a non-zero vector can be zero. A non-zero vector can have one or more components equal to zero while still having a non-zero magnitude overall. For example, in a two-dimensional space, the vector (0, 5) has a zero component in the x-direction but is still a non-zero vector since its y-component is non-zero.
Vector component greater than the vectors magnitude?
can a vector have a component greater than the vector magnitude
Can the magnitude of a vector be equal to one of its components?
Yes. A vector in two dimensions is broken into two components, a vector in three dimensions broken into three components, etc... If the value of all but one component of a vector equal zero then the magnitude of the vector is equal to the non-zero component.
How does the magnitude of a vector relate to the dot product?
The magnitude of dot product of two vectors is equal to the product of first vector to the component of second vector in the direction of first. for ex.- A.B=ABcos@
How the magnitude of vector is equal to 1?
If the sum of the squares of the vector's components is ' 1 ',then the vector's magnitude is ' 1 '.
Under what circumstances would a vector have a components that equal in magnitude?
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.
How can the resultant of two vecters of the same magnitude be equal to the magnitude of either vector?
If the directions of two vectors with equal magnitudes differ by 120 degrees, then the magnitude of their sum is equal to the magnitude of either vector.
Is the sum of two vectors of equal magnitude equal to the magnitude of either vectors AND their difference root 3 times the magnitude of each vector?
No, the statement is incorrect. The sum of two vectors of equal magnitude will not equal the magnitude of either vector. The sum of two vectors of equal magnitude will result in a new vector that is larger than the original vectors due to vector addition. The magnitude of the difference between the two vectors will be smaller than the magnitude of either vector.
When is the vector sum not equal in magnitude to the algebraic sum?
The magnitude of the vector sum will only equal the magnitude of algebraic sum, when the vectors are pointing in the same direction.
When does distance traveled equal the magnitude of displacement vector?
Distance traveled is equal to the magnitude of the displacement vector when the motion is in a straight line.
Can a unit vector have any components with magnitude greater than unity?
No, by definiton, a unit vector is a vector with a magnitude equal to unity.
When is the vector sum equal in magnitude to the algebraic sum?
When the angle between any two component vectors is either zero or 180 degrees.
Can the component of a non-zero vector be zero?
Yes, the component of a non-zero vector can be zero. A non-zero vector can have one or more components equal to zero while still having a non-zero magnitude overall. For example, in a two-dimensional space, the vector (0, 5) has a zero component in the x-direction but is still a non-zero vector since its y-component is non-zero.
