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Why is it necessary to use the trig function cosine when working with vectors?
The cosine function is used to determine the x component of the vector. The sine function is used to determine the y component. Consider a vector drawn on an x-y plane with its initial point at (0,0). If L is the magnitude of the vector and theta is the angle from the positive x axis to the vector, then the x component of the vector is L * cos(theta) and the y component is L * sin(theta).
What is the magnitude of vector -2 0?
A vector, starting at the origin and going to point (-2,0):Since there is no y-component, the magnitude is the absolute value of the x componentmagnitude = 2magnitude of a vector = sqrt( X2 + Y2) = sqrt ((-2)2 + 02) = sqrt(4) = 2where X & Y are the x-component & y-component of the vector.
How can you find a unit vector in the same direction as the given vector?
Divide the vector by it's length (magnitude).
Where is the second vector's tail placed when two vectors are added graphically using the tip to tail method?
it is placed at the tip of the first vector
What is Resultant velocity is calculated by using which two math functions?
Resultant velocity is calculated using vector addition, which involves both the Pythagorean theorem and trigonometric functions. When two velocity vectors are combined, the Pythagorean theorem is used to determine the magnitude of the resultant vector, while trigonometric functions like sine and cosine help find the direction of the resultant velocity. This approach allows for the determination of the overall velocity when multiple velocities are acting simultaneously.
Vector component greater than the vectors magnitude?
can a vector have a component greater than the vector magnitude
Can a vector have a component greater than vectors magnitude?
No.
Can a vector have a component greater than the magnitude of vector?
no a vector cannot have a component greater than the magnitude of vector
Can a vector have a component greater than the vector's magnitude?
No, a vector's component cannot be greater than the vector's magnitude. The magnitude represents the maximum possible magnitude of a component in any direction.
Can a vector have a component greater than the magnitude of the vector?
No, a vector component is a projection of the vector onto a specific direction. It cannot have a magnitude greater than the magnitude of the vector itself.
Can a component of vector greater than vector magnitude?
No, a component of a vector cannot be greater than the magnitude of the vector itself. The magnitude of a vector is the maximum possible value that can be obtained from its components.
Can the magnitude of the difference between two vectors ever be greater than the magnitude of either vector?
Yes, the magnitude of the difference between two vectors can be greater than the magnitude of either vector. This can occur when the vectors are in opposite directions or have different magnitudes such that the resulting difference vector is longer than either of the original vectors.
Can the component of a vector ever be greater than the magnitude of the vector?
No.
Can a vector have a component greater than the magnitude?
No.
Can a vector have a component greater than it magnitude?
No.
Can the magnitude of a resultant vector be greater than the sum of individual vectors?
The resultant vector IS the sum of the individual vectors. Its magnitudecan be the sum of their individual magnitudes or less, but not greater.
Can a vector have a component greater than its magnitude?
No a vector may not have a component greater than its magnitude. When dealing with highschool phyics problems, the magnitude is usually the sum of two or more components and one component will offset the other, causing the magnitude to be less then its component
