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Review how to find a vector's magnitude and direction from its components and vice versa.
To calculate the direction of the vector v = (x, y), use the formula θ = arctan(y/x). For vectors in quadrant 1, the direction is θ, in quadrant 2 the direction is 180° – θ, in quadrant 3 the direction is 180° + θ and in quadrant 4 the direction is 360° – θ.
Magnitude and Direction of Vectors. Magnitude of a Vector. The magnitude of a vector P Q → is the distance between the initial point P and the end point Q . In symbols the magnitude of P Q → is written as | P Q → | .
Vectors are quantities that are fully described by magnitude and direction. The direction of a vector can be described as being up or down or right or left. It can also be described as being east or west or north or south.
Vector, magnitude and direction of vector defined with pictures, examples and practice problems.
A vector has magnitude (size) and direction: The length of the line shows its magnitude and the arrowhead points in the direction. Play with one here:
Dec 29, 2020 · When applying a force, we are concerned with both the magnitude and direction of that force. In both of these examples, direction is important. Because of this, we study vectors, mathematical objects that convey both magnitude and direction information.
