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parshyaa
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I know that projection of vector B on A is ||B||cos(theta) where theta is the angle between vector A and B . But why do we find it . Is there any application for this
khoulahound said:it is useful in many applications when you want to know the parallel contribution of B to the total, eg in resolving a force or calculating work ie;
work = Force X distance in direction of motion
Projection of vectors is an important concept in mathematics and physics because it allows us to break down a vector into its component parts. This is especially useful when dealing with complex systems where multiple forces or velocities are acting on an object.
Projection of vectors helps us understand motion by breaking down the motion into its horizontal and vertical components. This allows us to analyze the motion separately and make predictions about the path and speed of an object.
Yes, projection of vectors is used in various real-life situations, such as in engineering, navigation, and physics. For example, it is used in designing bridges and buildings to determine the forces acting on different parts of the structure.
Projection of vectors involves breaking down a vector into its component parts, while vector addition involves combining multiple vectors together to create a new vector. While projection helps us analyze motion, vector addition helps us calculate the resultant force or velocity of multiple vectors acting on an object.
Understanding projection of vectors can benefit us in our daily lives by helping us analyze and make predictions about the motion of objects around us. It also helps us understand the forces acting on objects, which can be useful in making decisions, such as driving a car or playing sports.