Table of Contents
- 1 What is the dot product used for?
- 2 Why do we not use cross product instead of dot product for finding out the angle between the two vectors?
- 3 Why cosine is used in dot product?
- 4 What is the difference between dot product and cross product?
- 5 What is dot product and cross product in physics?
- 6 Why dot product is sine?
What is the dot product used for?
The dot product essentially tells us how much of the force vector is applied in the direction of the motion vector. The dot product can also help us measure the angle formed by a pair of vectors and the position of a vector relative to the coordinate axes.
Why do we not use cross product instead of dot product for finding out the angle between the two vectors?
Dot product and Cross product of two vectors cannot be same because resultant of dot product is a scalar quantity and that of vector product is a vector.
What are some uses of the dot and cross products?
Applications include finding projection of a force onto a specified axis. Checking whether 2 vectors are perpendicular. Finding work done by a force. Multiplication of matrices in linear algebra involve taking dot product of the row in left matrix with column in right matrix.
Why cosine is used in dot product?
In dot product cos is used because the two vectors have product value of zero when perpendicular, i.e. cos of anangle between them is equal to zero.
What is the difference between dot product and cross product?
The major difference between dot product and cross product is that dot product is the product of magnitude of the vectors and the cos of the angle between them, whereas the cross product is the product of the magnitude of the vector and the sine of the angle in which they subtend each other.
How is dot product used in real life?
4 Answers. In everyday life, whenever we move to arrive somewhere we instinctively use dot products to decide on the route, searching for the shortest. Pythagoras theorem is a dot product, and we use it all the time whether we know about it or not.
What is dot product and cross product in physics?
Why dot product is sine?
So the reason we use sine and cosine in Euclidean space is because they are dictated by the use of sine and cosine in rotations. In other spaces, with different rotation operators, you use the functions that are associated with those rotations instead. In dot product we use cos theta because in this type of product 1.)