Translation along a vector involves moving an object in a specific direction by a specified distance based on the properties of the vector. This operation involves shifting the object without rotating or changing its orientation, following the direction and magnitude of the vector.
No, a couple is not a vector quantity. A couple is a pair of forces that are equal in magnitude, opposite in direction, and act along parallel lines. It produces rotational motion without any translation of an object.
You should express a vector along the x-axis as negative when it points in the negative x-direction relative to a chosen positive direction. This convention helps maintain consistency with vector addition and trigonometric methods.
In vector terms, a component refers to the portion of the vector along a particular direction or axis. It is the projection of the vector onto that specific direction. For example, a vector in two dimensions can be broken down into its horizontal and vertical components.
Yes: such a vector would have only an x component, and it's change in regards to the y axis would be 0 (i.e. it would never get closer or farther from the y-axis).
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.
Yes. The "direction" of the vector is along the axis of rotation.Yes. The "direction" of the vector is along the axis of rotation.Yes. The "direction" of the vector is along the axis of rotation.Yes. The "direction" of the vector is along the axis of rotation.
A tangent of the vector is the projection of a vector along the axes of a coordinate system.
No, a couple is not a vector quantity. A couple is a pair of forces that are equal in magnitude, opposite in direction, and act along parallel lines. It produces rotational motion without any translation of an object.
translation and reflection are alike in the sense that they are generally both examples of an image being moved or changed, however translation is the movement of an image along a vector while reflections reflects an image over a given axis.
a translation
Glide reflection
Vector b would be along the z axis, it could have any magnitude.
In 2 dimensional space it is a translation vector which is a 2x1 column vector.
You should express a vector along the x-axis as negative when it points in the negative x-direction relative to a chosen positive direction. This convention helps maintain consistency with vector addition and trigonometric methods.
Together with a rotation matrix, R, a translation vector, t, yields a relation between two equivalent positions in a crystal, given by Rx+ t = x'. Please see the link.
When the arrow representing the vector would point toward negative x.
Vector A is parallel to the cross product of vectors B and C, and it is parallel to the axis that neither B or C lie along if the two other axes are defined as the axes that B and C lie along.