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The vector has a magnitude of 11 and a direction of 20 degrees. What is the magnitude of the x component?
Wiki User
∙ 12y ago
Assuming the 20 degrees are measured counterclockwise, starting from the x-axis (this is more or less standard), you can calculate the x-component as 11 x sin(20). Make sure your calculator is set to degrees first.
Wiki User
∙ 12y ago
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What are the components of a vector with a magnitude of 65.0 and a direction of 101.7?
The vector's 'x'-component is -13.181 (rounded). Its 'y'-component is +63.649 (rounded). (I'm assuming that the angle of 101.7 is stated in units of 'degrees'.)
What is the difference between a resultant vector and a component vector?
The resultant vector describes the complete vector, magnitude and direction; while the component vector describes a single component of a vector, like the x-component. If the resultant vector has only one component, the resultant and the component are the same and there is no difference.t
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
How do you find the vector of magnitude 2 in the direction of vector i plus 2j?
The magnitude of (i + 2j) is sqrt(5). The magnitude of your new vector is 2. If both vectors are in the same direction, then each component of one vector is in the same ratio to the corresponding component of the other one. The components of the known vector are 1 and 2, and its magnitude is sqrt(5). The magnitude of the new one is 2/sqrt(5) times the magnitude of the old one. So its x-component is 2/sqrt(5) times i, and its y-component is 2/sqrt(5) times 2j. The new vector is [ (2/sqrt(5))i + (4/sqrt(5))j ]. Since the components of both vectors are proportional, they're in the same direction.
Can the magnitude of a vector be lesser than its component?
No, because the components along any other direction is v*cos(A) where v is the magnitude of the original vector and A is the angle between the direction of the original vector and the direction of the component. Since the absolute value of cos(A) cannot be greater than 1, then v*cos(A) cannot be greater than v.
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.
What are the components of a vector with a magnitude of 65.0 and a direction of 101.7?
The vector's 'x'-component is -13.181 (rounded). Its 'y'-component is +63.649 (rounded). (I'm assuming that the angle of 101.7 is stated in units of 'degrees'.)
The vertical component is influenced by?
The vertical component of a vector is influenced by factors such as gravity, the direction of the vector, and the angle at which the vector is tilted with respect to the vertical axis. It represents the magnitude of the vector in the vertical direction.
What is Vector quantity?
A vector quantity is a physical quantity that has both magnitude and direction. Examples include velocity, force, and acceleration. Vectors are represented by arrows, where the length of the arrow represents the magnitude of the quantity and the direction of the arrow indicates the direction of the quantity.
What is the difference between a resultant vector and a component vector?
The resultant vector describes the complete vector, magnitude and direction; while the component vector describes a single component of a vector, like the x-component. If the resultant vector has only one component, the resultant and the component are the same and there is no difference.t
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
What is meant by scalar and vector?
A scalar is a quantity that has only magnitude (e.g., mass, temperature), while a vector is a quantity that has both magnitude and direction (e.g., velocity, force).Scalars are represented by a single numerical value, while vectors are represented by magnitude and direction.
A vector is a quantity with magnitude and ___?
A vector is described by magnitude and direction (a scalar has only magnitude).
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.
What are the components of the vector with a magnitude of 65.0 and a direction of 101.7?
The horizontal component of the vector is calculated as magnitude * cos(direction), so it is 65.0 * cos(101.7). The vertical component is calculated as magnitude * sin(direction), so it is 65.0 * sin(101.7).
What the magnitude alone of a vector quantity could be called?
The magnitude alone of a vector quantity is often referred to as the scalar component of the vector. This represents the size or length of the vector without considering its direction.
