Question

In: Mechanical Engineering

Any 10 examples of dot product and any 10 examples of cross product for physics

Any 10 examples of dot product and any 10 examples of cross product for physics

Solutions

Expert Solution

DOT PRODUCT: When two vectors are multiplied with each other and the result is a scalar (i.e., No direction) quantity then itt is called dot product.

Examples:

Workdone W = Force . Distance

Power = Force . Velocity

Electric Flux = Electric intensity . Area

A . B = B . A

i . i = 1 & i . j = 0

VECTOR PRODUCT : When two vectors are multiplied with each other and the result is a Vector (i.e., direction) quantity then itt is called vector product.

Examples:

Torque = Force X Radius

Velocity (Tangential) = Radius X Angular Velocity

Force on a charge in magnetic field = charge Velocity X Magnetic Field

A X B = l A l l B l sin Theta X Unit Vector ( According to Right Hand Rule)

A X B = - B X A

i X J = K & J X i = - k


Related Solutions

Using definitions of dot product and cross product, show that dot product and cross product are...
Using definitions of dot product and cross product, show that dot product and cross product are distributive (a) If the three vectors are coplanar. (b) in general. also, Is the cross product of two vectors associative i.e. A × (B × C ) = (A × B ) × C ? If so prove it. If not provide a counter example.
Define any 10 terms. Give examples where pertinent.
  1. Define any 10 terms. Give examples where pertinent.                    Fixed rates                                        net asset value (NAV)                   Adjustable rates                                 amortization                   PMI                                                 mortgage lien                   Assets under management                   reconveyance                   Secondary deed of trust                      first deed of trust                   Mortgage back securities                     credit default swaps
The cross product between the two vectors  and  is:
The cross product between the two vectors  and  is:
share what you recall as the clearest government’s response to any of the last recessions (dot...
share what you recall as the clearest government’s response to any of the last recessions (dot com bubble bust; financial crisis; COVID-19). In US PLEASE!!!
Do any equipotential lines cross one another?
physicsQuestions Do any equipotential lines cross one another?Do any field lines cross one another? Estimate the electric field strength at a point :(a) half way between the terminals and(b) near one of the terminals by using the relation: where AV is the potential difference between two points (for example, two points on successive equipotential lines) and AL is the distance measured along a field line. Where is the field the strongest? Where is the field the weakest?
language assembly msp430: a macro called "vdot" that calculates the "dot product" of two vectors "a"...
language assembly msp430: a macro called "vdot" that calculates the "dot product" of two vectors "a" and "b", implemented as "arrays" (following the language convention "C"), of 3 elements. the macro must receive 2 pointers to the first element of each vector and return the result in R13.
How to do cross product of |(B-A)x (C-A)|
How to do cross product of |(B-A)x (C-A)|
Living things are constrained by the laws of physics, chemistry, and mathematics. Provide two examples of...
Living things are constrained by the laws of physics, chemistry, and mathematics. Provide two examples of physical laws. - For each example explicitly name the law to explain what physiological processes are described by the law using specific examples. - explain why the limits of the laws constrain the function of animal bodies - - what does the law limit for each example?
I have the following question, I have no relation to the study of Physics in any...
I have the following question, I have no relation to the study of Physics in any way, but the question has been teasing me for some time. Please accept my poor physical terminology. Here we go... When a solid ball is thrown in a given angle with sufficient force, that ball will move in a some path. The ball will move until the energy passed to it is no longer effective against other forces affecting its movement. I have the...
What formula for the dot product makes these geometric properties clear? Explain. two explainations please
What formula for the dot product makes these geometric properties clear? Explain. two explainations please
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT