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Why do nonperpendicular vectors need to be resolved into components before you can add the vectors together?
When vectors are not perpendicular, their components in a given direction are not simply the scalar values of the original vectors. Resolving nonperpendicular vectors into components along mutually perpendicular axes (commonly x and y axes) allows you to add the components of each individual vector separately to obtain the resulting vector accurately using vector addition rules. This process is necessary to ensure that the direction and magnitude of the resulting vector are correctly calculated.
If one component of a vector A is zero along the direction of another vector B then in what direction the two vectors will be?
If one component of vector A is zero along the direction of vector B, it means the two vectors are orthogonal or perpendicular to each other. Their directions would be such that they are at a right angle to each other.
What are combined vectors that go in one direction?
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What is the work done by a body moving along a circular path?
The work done by a body moving along a circular path is zero if the force is perpendicular to the direction of motion, such as in the case of centripetal force. This is because the displacement is perpendicular to the force. If there is a component of the force in the direction of the motion, work is done, calculated as the dot product of the force and displacement vectors.
What is the definition of DIRECTION in physics?
In physics, direction refers to the orientation or angle in which a force, velocity, acceleration, or position is acting or moving. It is crucial to specify direction along with magnitude to fully describe a physical quantity involving vectors. Direction can be indicated by angles, unit vectors, or compass directions.
What is the purpose of vector resolution in adding vectors?
Vector addition does not follow the familiar rules of addition as applied to addition of numbers. However, if vectors are resolved into their components, the rules of addition do apply for these components. There is a further advantage when vectors are resolved along orthogonal (mutually perpendicular) directions. A vector has no effect in a direction perpendicular to its own direction.
If the component of vector A along the direction of vector B is zero. What can you conclude about these two vectors?
Their directions are perpendicular.
Why do nonperpendicular vectors need to be resolved into components before you can add the vectors together?
When vectors are not perpendicular, their components in a given direction are not simply the scalar values of the original vectors. Resolving nonperpendicular vectors into components along mutually perpendicular axes (commonly x and y axes) allows you to add the components of each individual vector separately to obtain the resulting vector accurately using vector addition rules. This process is necessary to ensure that the direction and magnitude of the resulting vector are correctly calculated.
If one component of a vector A is zero along the direction of another vector B then in what direction the two vectors will be?
If one component of vector A is zero along the direction of vector B, it means the two vectors are orthogonal or perpendicular to each other. Their directions would be such that they are at a right angle to each other.
What are combined vectors that go in one direction?
true
What is the work done by a body moving along a circular path?
The work done by a body moving along a circular path is zero if the force is perpendicular to the direction of motion, such as in the case of centripetal force. This is because the displacement is perpendicular to the force. If there is a component of the force in the direction of the motion, work is done, calculated as the dot product of the force and displacement vectors.
How do you name the direction of a vector?
The direction of a vector is defined in terms of its components along a set of orthogonal vectors (the coordinate axes).
When you resolve a vector and what do you get?
You get other vectors, usually perpendicular to each other, that - when added together - result in the original vector. These component vectors are usually along the axes of some selected coordinate system.
What type of moraine is not oriented perpendicular to the direction of ice flow?
Lateral moraine is not oriented perpendicular to the direction of ice flow. It forms along the sides of a glacier and runs parallel to the ice flow direction.
What is the definition of DIRECTION in physics?
In physics, direction refers to the orientation or angle in which a force, velocity, acceleration, or position is acting or moving. It is crucial to specify direction along with magnitude to fully describe a physical quantity involving vectors. Direction can be indicated by angles, unit vectors, or compass directions.
How does length contraction occur in relation to an object's motion, with the understanding that it only happens along a direction perpendicular to the object's motion?
Length contraction occurs when an object moves at high speeds, causing it to appear shorter in the direction of its motion. This contraction only happens along the direction of motion, not perpendicular to it.
What is the relationship between the components of a vector and the unit vectors in a given coordinate system?
In a given coordinate system, the components of a vector represent its magnitude and direction along each axis. Unit vectors are vectors with a magnitude of 1 that point along each axis. The relationship between the components of a vector and the unit vectors is that the components of a vector can be expressed as a combination of the unit vectors multiplied by their respective magnitudes.
