Question

g Vectors ???? and ???? are sides of an equilateral triangle whose sides have length 4. Compute ????⋅????. (Give your solution as a number to one decimal place.

Answer 1

`v \cdot w = 8.0`

Explanation:

See comment for complete question

Given

`|v| = |w| = 4` --- the side lengths

Required

`v \cdot w`

`v \cdot w = |v| \cdot |w| \cdot (cos\theta)`

From the question, we understand that v and w are sides of an equilateral triangle.

This means that:

`\theta = 60^o` --- angles in an equilateral triangle

So:

`v \cdot w = |v| \cdot |w| \cdot (\cos 60)`

So, we have:

`v \cdot w = 4 * 4 * 0.5`

`v \cdot w = 8.0`