0
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
Add your answer:
Earn +20 pts
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.
What is Vector quantity?
Associates the direction taken with the speedAny quantity that has direction and magnitude associated with it is considered a vector quantity. An example of a vector quantity would be velocity. It must be expressed with reference to a direction.-aerol_
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 meant by scalar and vector?
Basically, a scalar magnitude is one in which the direction is not relevant; a vector magnitude is one in which the direction is relevant. A scalar can be represented by a single real number; a vector requires at least two numbers (for example, the x-component and the y-component; or alternately a magnitude and a direction).
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
Vector component greater than the vectors magnitude?
can a vector have a component greater than the vector magnitude
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.
How does the magnitude of a vector relate to the dot product?
The magnitude of dot product of two vectors is equal to the product of first vector to the component of second vector in the direction of first. for ex.- A.B=ABcos@
A vector is a quantity with magnitude and ___?
A vector is described by magnitude and direction (a scalar has only magnitude).
What are the 50 words of vector and their magnitude and direction?
What are the 50 word of vector and their magnitude and direction
Can a vector have zero magnitude if one of its component is not zero?
No. The magnitude of a vector can't be less than any component.
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.
