Where is scalar product used

You fly [latex] Find y and r. Starting at the island of Moi in an unknown archipelago, a fishing boat makes a round trip with two stops at the islands of Noi and Poi. It sails from Moi for 4. What distance does the boat sail between Noi and Poi? What distance does it sail between Moi and Poi? Express your answer both in nautical miles and in kilometers.

An air traffic controller notices two signals from two planes on the radar monitor. One plane is at altitude m and in a The second plane is at altitude m and its horizontal distance is What is the distance between these planes? Four force vectors each have the same magnitude f. What is the largest magnitude the resultant force vector may have when these forces are added? What is the smallest magnitude of the resultant? Make a graph of both situations.

A skater glides along a circular path of radius 5. When he coasts around one-half of the circle, starting from the west point, find a the magnitude of his displacement vector and b how far he actually skated. A stubborn dog is being walked on a leash by its owner.

A diver explores a shallow reef off the coast of Belize. She initially swims In the meantime, a local current displaces her by Assuming the current is no longer present, in what direction and how far should she now swim to come back to the point where she started?

Distances between points in a plane do not change when a coordinate system is rotated. In other words, the magnitude of a vector is invariant under rotations of the coordinate system. Here, you have to show that. Privacy Policy. Skip to main content. Search for:. Determine the scalar product of two vectors. Determine the vector product of two vectors. Describe how the products of vectors are used in physics.

Scalar Product Dot Product. Solution to Question 4 A tangent to a circle at point B is perpendicular to segment BC where C is the center of the circle see figure on the right.

Point C is the center of the circle and therefore the midpoint of A and B. If direction and magnitude are missing, then the scalar product cannot be calculated for vector quantity. To understand it in a better and detailed manner, let us take an example-. Consider an example of two vectors A and B. The dot product of both these quantities will be For the above expression, the representation of a scalar product will be Image to be added soon.

Now, we can clearly define the scalar product as the product of both the components A and B, along with their magnitude and their direction. For the product of vector quantities, it is important to get the magnitude and direction both. Commutative law is related to the addition or subtraction of two numbers.

Tutorial: How to Calculate the Scalar Product. The 3 scenarios that must be known are shown here:. This provides with a very useful way for checking whether two vectors are perpendicular.