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If the sum of the squares of the vector's components is ' 1 ',
then the vector's magnitude is ' 1 '.
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∙ 11y ago
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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 vector have a component equal to zero and still have a nonzero magnitude?
Yes. For instance, the 2-dimensional vector (1,0) has length sqrt(1+0) = 1 A vector only has zero magnitude when all its components are 0.
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.
Define the angle of the equilibrant vector?
vector equal in magnitude and opposite direction
Can the magnitude of resultant of two vectors of the same magnitude be equal of magnitude of either vector?
yes
What is a unit vector?
It is a vector whose magnitude is 1.It is a vector whose magnitude is 1.It is a vector whose magnitude is 1.It is a vector whose 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.
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 vector have a component equal to zero and still have a nonzero magnitude?
Yes. For instance, the 2-dimensional vector (1,0) has length sqrt(1+0) = 1 A vector only has zero magnitude when all its components are 0.
What magnitude is not possible when a vector of a magnitude of 3 is added to a vector of a magnitude of 4?
It is not possible to obtain a vector with a magnitude of 7 when adding vectors of magnitude 3 and 4. The resultant magnitude will be between 1 and 7, as the triangle inequality states that the magnitude of the sum of two vectors is less than or equal to the sum of their magnitudes.
Vector component greater than the vectors magnitude?
A vector component can never be greater than the vector's magnitude. The magnitude of a vector is the length of the vector and is always greater than or equal to any of its individual components.
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.
Suppose vector equation A plus B equals 0.how does the magnitude of B compare to that of A?
If vector equation A + B = 0, it means that vector B is equal in magnitude but opposite in direction to vector A. Therefore, the magnitude of vector B is equal to the magnitude of vector A.
What does a vector equal?
Any other vector with with the same magnitude and the same direction.
Define the angle of the equilibrant vector?
vector equal in magnitude and opposite direction
