Calculating Dot Product Using Components Video Lessons

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Problem: A. What is the angle ? between vectors E? and F? in the figure? (Figure 1)B. Use components to determine the magnitude of G?  =E? +F ?C. Use components to determine the direction of G?  =E? +F ?

FREE Expert Solution

Dot Product:

F·E=FEcosϕ

A.

From the dot product equation:

Φ = cos-1(F•E/FE) 

F•E = (-i + 2j)•(i + j) = - 1 + 2 = 1

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Problem Details

A. What is the angle ? between vectors E? and F? in the figure? (Figure 1)

B. Use components to determine the magnitude of G?  =E? +?

C. Use components to determine the direction of G?  =E? +?

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