Which of the following operation will not change a vector? A. Rotation...
Introduction:
Vectors are quantities that have both magnitude and direction. They are used in many areas of physics, engineering, and mathematics. Vectors can be transformed in different ways, such as by rotation or translation. However, some operations will not change a vector.
Answer:
The operation that will not change a vector is rotation in its own plane.
Explanation:
When a vector is rotated in its own plane, its magnitude and direction remain the same. This is because the vector is simply being moved around in a circle while still pointing in the same direction. For example, if we have a vector pointing in the direction of the x-axis and we rotate it 90 degrees counterclockwise in the xy-plane, it will now be pointing in the direction of the y-axis. However, its magnitude and direction remain the same.
On the other hand, rotation perpendicular to the vector's plane or rotation about the tail will change the vector. When we rotate a vector perpendicular to its plane, its direction and magnitude both change. When we rotate a vector about the tail, its direction changes, but its magnitude remains the same.
Conclusion:
In summary, when we rotate a vector in its own plane, its magnitude and direction remain the same, so the vector is unchanged. However, when we rotate a vector perpendicular to its plane or about the tail, its magnitude and/or direction change, so the vector is changed.
Which of the following operation will not change a vector? A. Rotation...
Option (d) none of these
Vector changes when magnitude or direction change,
Since there is no chance of magnitude change here
And direction will not change if we don't change the angle so
In Rotation in its own plane, rotation perpendicular to its plane or rotation about the tail the direction will be same and magnitude same so vector will not change
Do share answer if i m wrong.
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