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


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