If you assume the vector is only in two dimensions, you can find the missing y-component with Pythagoras' Theorem: y = square root of (magnitude2 - x2).
If they are parallel, you can add them algebraically to get a resultant vector. Then you can resolve the resultant vector to obtain the vector components.
The magnitude alone can't tell you anything about its components. You also need to know its direction.
One component = (magnitude) times (cosine of the angle).Other component = (magnitude) times (sine of the angle).In order to decide which is which, we have to know the angle with respect to what.
Given a vector, speed is the magnitude of the velocity vector, |v|. Consider vector V= IVx + JVy + KVz the magnitude is |V| = ( Vx2 + Vy2 + Vz2)1/2
You cannot, unless it is a null vector. As a point.
If they are parallel, you can add them algebraically to get a resultant vector. Then you can resolve the resultant vector to obtain the vector components.
The magnitude alone can't tell you anything about its components. You also need to know its direction.
The magnitude of a vector is 0 if the magnitude is given to be 0.The magnitude of the resultant of several vectors in n-dimensional space is 0 if and only if the components of the vectors sum to 0 in each of a sewt of n orthogonal directions.
One component = (magnitude) times (cosine of the angle).Other component = (magnitude) times (sine of the angle).In order to decide which is which, we have to know the angle with respect to what.
Given a vector, speed is the magnitude of the velocity vector, |v|. Consider vector V= IVx + JVy + KVz the magnitude is |V| = ( Vx2 + Vy2 + Vz2)1/2
Divide the vector by it's length (magnitude).
You cannot, unless it is a null vector. As a point.
The magnitude of the vector 75 mph to the north is 75 mph. Magnitude refers to the size or length of the vector, so in this case, it is simply the speed given in the direction of north.
Angular displacement is a vector quantity because it has both magnitude and direction. The direction of angular displacement is determined by the axis of rotation and follows the right-hand rule, while the magnitude is given by the angle of rotation. As a vector, angular displacement can be added, subtracted, and resolved into components, making it useful in calculations that involve rotational motion.
A vector is something which has both magnitude and direction. Examples include velocity which is speed (magnitude) in a given direction. When written using orthogonal components vectors are written as a column of numbers in parentheses (a one-dimensional array).
The magnitude of the vector is simply the length of the vector, which is 15 ft. The direction given as "down" does not affect the magnitude, only the direction.
The magnitude of the vector 3i + 4j is given by the formula |v| = sqrt((3^2) + (4^2)) = sqrt(9 + 16) = sqrt(25) = 5. Therefore, the magnitude of the vector is 5.