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

Answer:

$v \cdot w = 8.0$

Step-by-step 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:

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

$v \cdot w = 8.0$