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Vector A̅ = ŷ.3 + ẑ.2 and B̅ = x̂.5 + ŷ.8 extend from the origin. Find A̅.B̅

 

26.  Vector A̅ = ŷ.3 + ẑ.2 and B̅ = x̂.5 + ŷ.8 extend from the origin. Find A̅.B̅

1. 15

2.16

3.24

4.6

Answer: C

solution

Dot product A̅.B̅ = |A̅||B̅|cos(theta)

and x̂.x̂ = 1, x̂.ŷ = x̂.ẑ = 0 and so on

So, A̅.B̅ = 24

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