Vectors v and w are sides of an equilateral triangle whose sides have length 3. compute v · w.

We have that dot product of v*w is

From the calculations below

From the question we are told that:

Vectors:

v and w

Length l=3

Equilateral Triangle

An equilateral triangle is a triangle with all three sides of equal length and equal angles thereby has all angles at

Therefore

Generally, the equation for angle between vectors is mathematically given by

Therefore

In conclusion

The dot product of vw is

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4.5

Step-by-step explanation:

The length of the vectors v and w is 3, and the inner product is defined as:

|v|*|w| cos α

So, for an equilateral triangle, α=60° and cos 60° = 1/2

3*3*1/2 = 4.5